Spectral Tower

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The Goodwillie Tower and the EHP Sequence

Author : Mark Behrens
Publisher : American Mathematical Soc.
ISBN 13 : 0821869027
Total Pages : 90 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis The Goodwillie Tower and the EHP Sequence by : Mark Behrens

Download or read book The Goodwillie Tower and the EHP Sequence written by Mark Behrens and published by American Mathematical Soc.. This book was released on 2012 with total page 90 pages. Available in PDF, EPUB and Kindle. Book excerpt: The author studies the interaction between the EHP sequence and the Goodwillie tower of the identity evaluated at spheres at the prime $2$. Both give rise to spectral sequences (the EHP spectral sequence and the Goodwillie spectral sequence, respectively) which compute the unstable homotopy groups of spheres. He relates the Goodwillie filtration to the $P$ map, and the Goodwillie differentials to the $H$ map. Furthermore, he studies an iterated Atiyah-Hirzebruch spectral sequence approach to the homotopy of the layers of the Goodwillie tower of the identity on spheres. He shows that differentials in these spectral sequences give rise to differentials in the EHP spectral sequence. He uses his theory to recompute the $2$-primary unstable stems through the Toda range (up to the $19$-stem). He also studies the homological behavior of the interaction between the EHP sequence and the Goodwillie tower of the identity. This homological analysis involves the introduction of Dyer-Lashof-like operations associated to M. Ching's operad structure on the derivatives of the identity. These operations act on the mod $2$ stable homology of the Goodwillie layers of any functor from spaces to spaces.

The Adams Spectral Sequence for Topological Modular Forms

Author : Robert R. Bruner
Publisher : American Mathematical Soc.
ISBN 13 : 1470456745
Total Pages : 690 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis The Adams Spectral Sequence for Topological Modular Forms by : Robert R. Bruner

Download or read book The Adams Spectral Sequence for Topological Modular Forms written by Robert R. Bruner and published by American Mathematical Soc.. This book was released on 2021-09-30 with total page 690 pages. Available in PDF, EPUB and Kindle. Book excerpt: The connective topological modular forms spectrum, tmf, is in a sense initial among elliptic spectra, and as such is an important link between the homotopy groups of spheres and modular forms. A primary goal of this volume is to give a complete account, with full proofs, of the homotopy of tmf and several tmf-module spectra by means of the classical Adams spectral sequence, thus verifying, correcting, and extending existing approaches. In the process, folklore results are made precise and generalized. Anderson and Brown-Comenetz duality, and the corresponding dualities in homotopy groups, are carefully proved. The volume also includes an account of the homotopy groups of spheres through degree 44, with complete proofs, except that the Adams conjecture is used without proof. Also presented are modern stable proofs of classical results which are hard to extract from the literature. Tools used in this book include a multiplicative spectral sequence generalizing a construction of Davis and Mahowald, and computer software which computes the cohomology of modules over the Steenrod algebra and products therein. Techniques from commutative algebra are used to make the calculation precise and finite. The H∞ ring structure of the sphere and of tmf are used to determine many differentials and relations.

The Last Hawk

Author : Catherine Asaro
Publisher : Open Road Media
ISBN 13 : 1504079574
Total Pages : 496 pages
Book Rating : 4.5/5 (4 download)

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Book Synopsis The Last Hawk by : Catherine Asaro

Download or read book The Last Hawk written by Catherine Asaro and published by Open Road Media. This book was released on 2022-09-27 with total page 496 pages. Available in PDF, EPUB and Kindle. Book excerpt: “Powerful characterization and intriguing scientific concepts . . . an elegant subtlety and a far-reaching sense of destiny that carries [Asaro] to the highest rank of master storyteller.” —Romantic Times Reeling from a battle, pilot Kelric Valdoria crash-lands his Jag starfighter on Coba, the closest safe planet he can find after a Trader squad cripples his ship. Although the military of Kelric’s people have given Coba Restricted status, Kelric sees no reason for such draconian measures to isolate the seemingly benign world. While recovering, the dashing Kelric becomes the target of affection for high-powered women in Coba’s matriarchal society, including Deha Dahl, an Estate Manager, and young Ixpar Karn, the chosen successor of the Minister. Distracted by their flirtations, Kelric doesn’t at first realize the Restricted status of the planet was their own choice—and that they can’t risk letting him go. However, Kelric’s internal biomech system is failing, causing his brain to malfunction. His only hope is to escape. But when his attempt fails, ending in the death of a guard, he must face a trial that could mean his execution, unless he can win the trust of the people who both covet and fear him . . . “Well-written, entertaining, classic science fiction fun.” —The Plain Dealer “Impossible to put down.” —L. E. Modesitt, Jr., New York Times–bestselling author “A smoothly absorbing space opera that mixes high-tech gimmickry with galactic politics and plenty of romance.” —Publishers Weekly

Spectral Tower

Author : Remy James Kirkham
Publisher : Createspace Independent Pub
ISBN 13 : 9781494283988
Total Pages : 320 pages
Book Rating : 4.2/5 (839 download)

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Book Synopsis Spectral Tower by : Remy James Kirkham

Download or read book Spectral Tower written by Remy James Kirkham and published by Createspace Independent Pub. This book was released on 2013-11-25 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: This story's a blend of realism, fantasy and mystery. Stanley Reader, a young war veteran, suffers from amnesia and hallucinations. The cause is due to psychological trauma and injuries he sustained during a bombing in Afghanistan. Back home he awakens from a terrible dream: His former girlfriend, Thel, is trapped on a lifeguard tower engulfed in flames. He hasn't seen her in more than a year. What he last remembers is being with her at the very same lifeguard tower he dreamt about. There he proposed to her. But she turned him down. An argument followed. And by the next morning, she was gone. That's all Stanley can remember. But his dream does compel him to find out where she now is. Thus his search places him on a pathway filled with ominous and surreal settings. During his one night odyssey, Stanley encounters familiar faces and odd strangers: His former professor, who has a fetish for French films; the professor's daughter, who's preternaturally introspective and well-versed in the paranormal; a deranged lion trainer fed up with the circus; two conjurers who've mastered the old ways of magic; a ghost from the war who tries to help Stanley survive the night; two malevolent thugs with a grudge against him. There's also a lion on the loose. And startling moments do arise when Stanley thinks of seeing Thel float like an apparition through the streets. Stanley returns to old haunts ranging from a coffee shop, a dive bar to a café. There's a car-chase, murder and magic. Eventually, he'll find himself at that one lifeguard tower from his dream.There a strange, forgotten memory will emerge central to Thel's ultimate fate. It involves a mysterious painting. And it will place Stanley between the ideal importance of joy and profound elements of madness!

Algebraic Topology

Author : Martin C. Tangora
Publisher : American Mathematical Soc.
ISBN 13 : 0821851624
Total Pages : 481 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Algebraic Topology by : Martin C. Tangora

Download or read book Algebraic Topology written by Martin C. Tangora and published by American Mathematical Soc.. This book was released on 1993 with total page 481 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book consists of twenty-nine articles contributed by participants of an International Conference in Algebraic Topology held in July 1991 in Oaxtepec, Mexico. In addition to papers on current research, there are several surveys and expositions on the work of Mark Mahowald, whose sixtieth birthday was celebrated during the conference. The conference was truly international, with over 130 mathematicians from fifteen countries. It ended with a spectacular total eclipse of the sun, a photograph of which appears as the frontispiece. The papers range over much of algebraic topology and cross over into related areas, such as $K$-theory, representation theory, and Lie groups. Also included is a chart of the Adams spectral sequence and a bibliography of Mahowald's publications.

Playstation 3

Author :
Publisher : PediaPress
ISBN 13 :
Total Pages : 749 pages
Book Rating : 4./5 ( download)

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Book Synopsis Playstation 3 by :

Download or read book Playstation 3 written by and published by PediaPress. This book was released on with total page 749 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Wind Loads on Structures

Author : Arthur N. L. Chiu
Publisher :
ISBN 13 :
Total Pages : 392 pages
Book Rating : 4.:/5 (318 download)

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Book Synopsis Wind Loads on Structures by : Arthur N. L. Chiu

Download or read book Wind Loads on Structures written by Arthur N. L. Chiu and published by . This book was released on 1970 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Topological Modular Forms

Author : Christopher L. Douglas
Publisher : American Mathematical Soc.
ISBN 13 : 1470418843
Total Pages : 318 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Topological Modular Forms by : Christopher L. Douglas

Download or read book Topological Modular Forms written by Christopher L. Douglas and published by American Mathematical Soc.. This book was released on 2014-12-04 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of topological modular forms is an intricate blend of classical algebraic modular forms and stable homotopy groups of spheres. The construction of this theory combines an algebro-geometric perspective on elliptic curves over finite fields with techniques from algebraic topology, particularly stable homotopy theory. It has applications to and connections with manifold topology, number theory, and string theory. This book provides a careful, accessible introduction to topological modular forms. After a brief history and an extended overview of the subject, the book proper commences with an exposition of classical aspects of elliptic cohomology, including background material on elliptic curves and modular forms, a description of the moduli stack of elliptic curves, an explanation of the exact functor theorem for constructing cohomology theories, and an exploration of sheaves in stable homotopy theory. There follows a treatment of more specialized topics, including localization of spectra, the deformation theory of formal groups, and Goerss-Hopkins obstruction theory for multiplicative structures on spectra. The book then proceeds to more advanced material, including discussions of the string orientation, the sheaf of spectra on the moduli stack of elliptic curves, the homotopy of topological modular forms, and an extensive account of the construction of the spectrum of topological modular forms. The book concludes with the three original, pioneering and enormously influential manuscripts on the subject, by Hopkins, Miller, and Mahowald.

Spectra and the Steenrod Algebra

Author : H.R. Margolis
Publisher : Elsevier
ISBN 13 : 0080960170
Total Pages : 511 pages
Book Rating : 4.0/5 (89 download)

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Book Synopsis Spectra and the Steenrod Algebra by : H.R. Margolis

Download or read book Spectra and the Steenrod Algebra written by H.R. Margolis and published by Elsevier. This book was released on 2011-08-18 with total page 511 pages. Available in PDF, EPUB and Kindle. Book excerpt: I have intended this book to be more than just the sum of its chapters, and the introduction is, in part, an attempt to spell out what the more is. Algebraic topology is the study of topological problems by algebraic means. More precisely, this has come to be framed as the study of topological categories by means of functors to algebraic categories. Beyond the basic definitions and structure, the focus is often on particular problems, for example, Adams’ use of K-theory to solve the vector fields on spheres problem. On the other hand, there are contributions of a more global nature yielding insight into the overall structure of some topological category, for example, Quillen’s work on rational homotopy type. This book is intended primarily as a contribution of this latter sort. So while there will be a variety of particular examples and computations, and although the structure being developed has significant application to many specific problems (some of which are considered here), the major thrust of the text is toward understanding the global structure and linkage of the topological and algebraic categories considered: the stable homotopy category and the category of modules over the Steenrod algebra.

Marine Forecasting

Author : J.C.J. Nihoul
Publisher : Elsevier
ISBN 13 : 9780080870625
Total Pages : 492 pages
Book Rating : 4.8/5 (76 download)

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Book Synopsis Marine Forecasting by : J.C.J. Nihoul

Download or read book Marine Forecasting written by J.C.J. Nihoul and published by Elsevier. This book was released on 1979-01-01 with total page 492 pages. Available in PDF, EPUB and Kindle. Book excerpt: Marine Forecasting

Geometry, Spectral Theory, Groups, and Dynamics

Author : Robert Brooks
Publisher : American Mathematical Soc.
ISBN 13 : 0821837109
Total Pages : 275 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Geometry, Spectral Theory, Groups, and Dynamics by : Robert Brooks

Download or read book Geometry, Spectral Theory, Groups, and Dynamics written by Robert Brooks and published by American Mathematical Soc.. This book was released on 2005 with total page 275 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains articles based on talks given at the Robert Brooks Memorial Conference on Geometry and Spectral Theory and the Workshop on Groups, Geometry and Dynamics held at Technion - the Israel Institute of Technology (Haifa). Robert Brooks' (1952-2002) broad range of mathematical interests is represented in the volume, which is devoted to various aspects of global analysis, spectral theory, the theory of Riemann surfaces, Riemannian and discrete geometry, and number theory. A survey of Brooks' work has been written by his close colleague, Peter Buser. Also included in the volume are articles on analytic topics, such as Szegos theorem, and on geometric topics, such as isoperimetric inequalities and symmetries of manifolds. The book is suitable for graduate students and researchers interested in various aspects of geometry and global analysis.

Monthly Weather Review

Author :
Publisher :
ISBN 13 :
Total Pages : 594 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Monthly Weather Review by :

Download or read book Monthly Weather Review written by and published by . This book was released on 1955 with total page 594 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Advances in Quantitative Remote Sensing in China – In Memory of Prof. Xiaowen Li

Author : Shunlin Liang
Publisher : MDPI
ISBN 13 : 3038972762
Total Pages : 404 pages
Book Rating : 4.0/5 (389 download)

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Book Synopsis Advances in Quantitative Remote Sensing in China – In Memory of Prof. Xiaowen Li by : Shunlin Liang

Download or read book Advances in Quantitative Remote Sensing in China – In Memory of Prof. Xiaowen Li written by Shunlin Liang and published by MDPI. This book was released on 2019-03-07 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantitative land remote sensing has recently advanced dramatically, particularly in China. It has been largely driven by vast governmental investment, the availability of a huge amount of Chinese satellite data, geospatial information requirements for addressing pressing environmental issues and other societal benefits. Many individuals have also fostered and made great contributions to its development, and Prof. Xiaowen Li was one of these leading figures. This book is published in memory of Prof. Li. The papers collected in this book cover topics from surface reflectance simulation, inversion algorithm and estimation of variables, to applications in optical, thermal, Lidar and microwave remote sensing. The wide range of variables include directional reflectance, chlorophyll fluorescence, aerosol optical depth, incident solar radiation, albedo, surface temperature, upward longwave radiation, leaf area index, fractional vegetation cover, forest biomass, precipitation, evapotranspiration, freeze/thaw snow cover, vegetation productivity, phenology and biodiversity indicators. They clearly reflect the current level of research in this area. This book constitutes an excellent reference suitable for upper-level undergraduate students, graduate students and professionals in remote sensing.

Collected Reprints of the Wave Propagation Laboratory

Author :
Publisher :
ISBN 13 :
Total Pages : 610 pages
Book Rating : 4.:/5 (3 download)

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Book Synopsis Collected Reprints of the Wave Propagation Laboratory by :

Download or read book Collected Reprints of the Wave Propagation Laboratory written by and published by . This book was released on 1967 with total page 610 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Netherland

Author : Andrew O'Kelley
Publisher : Andrew O'Kelley
ISBN 13 :
Total Pages : 259 pages
Book Rating : 4./5 ( download)

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Book Synopsis Netherland by : Andrew O'Kelley

Download or read book Netherland written by Andrew O'Kelley and published by Andrew O'Kelley. This book was released on 2020-11-26 with total page 259 pages. Available in PDF, EPUB and Kindle. Book excerpt: Elijah has seen his share of hardship, but nothing could have prepared him for Netherland A place where monsters roam. A world with deadly secrets. Facing off against other humans in the middle of a Dark Lord's deadly game of survival, he is not without power. He's been gifted a Sol, an ethereal wisp named Fel that allows access to a system he can use to strengthen himself. And he must if he's to survive. KEYWORDS: LitRPG, GameLit, Survival Game, Dark Fantasy Series, Young Adult, Isekai, Portal Fantasy, Base Building, Kingdom, Fantasy Post Apocalypse, Monsters, Eldritch Horror

Cubical Homotopy Theory

Author : Brian A. Munson
Publisher : Cambridge University Press
ISBN 13 : 1107030250
Total Pages : 649 pages
Book Rating : 4.1/5 (7 download)

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Book Synopsis Cubical Homotopy Theory by : Brian A. Munson

Download or read book Cubical Homotopy Theory written by Brian A. Munson and published by Cambridge University Press. This book was released on 2015-10-06 with total page 649 pages. Available in PDF, EPUB and Kindle. Book excerpt: A modern, example-driven introduction to cubical diagrams and related topics such as homotopy limits and cosimplicial spaces.

Simplicial Homotopy Theory

Author : Paul Gregory Goerss
Publisher : Springer Science & Business Media
ISBN 13 : 9783764360641
Total Pages : 538 pages
Book Rating : 4.3/5 (66 download)

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Book Synopsis Simplicial Homotopy Theory by : Paul Gregory Goerss

Download or read book Simplicial Homotopy Theory written by Paul Gregory Goerss and published by Springer Science & Business Media. This book was released on 1999 with total page 538 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since the beginning of the modern era of algebraic topology, simplicial methods have been used systematically and effectively for both computation and basic theory. With the development of Quillen's concept of a closed model category and, in particular, a simplicial model category, this collection of methods has become the primary way to describe non-abelian homological algebra and to address homotopy-theoretical issues in a variety of fields, including algebraic K-theory. This book supplies a modern exposition of these ideas, emphasizing model category theoretical techniques. Discussed here are the homotopy theory of simplicial sets, and other basic topics such as simplicial groups, Postnikov towers, and bisimplicial sets. The more advanced material includes homotopy limits and colimits, localization with respect to a map and with respect to a homology theory, cosimplicial spaces, and homotopy coherence. Interspersed throughout are many results and ideas well-known to experts, but uncollected in the literature. Intended for second-year graduate students and beyond, this book introduces many of the basic tools of modern homotopy theory. An extensive background in topology is not assumed.