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H Spaces With Torsion
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Book Synopsis $H$-Spaces with Torsion by : John R. Harper
Download or read book $H$-Spaces with Torsion written by John R. Harper and published by American Mathematical Soc.. This book was released on 1979 with total page 84 pages. Available in PDF, EPUB and Kindle. Book excerpt: For each odd prime 'p' a simply connected finite H-space is constructed with p-torsion in homology. Implications of the examples for the theory of finite H-spaces are examined. Applications of the techniques used for the main results are given to mod p decomposition problems. An extensive review of the theory of unstable Adams resolutions is provided.
Book Synopsis The Homology of Hopf Spaces by : R.M. Kane
Download or read book The Homology of Hopf Spaces written by R.M. Kane and published by North Holland. This book was released on 1988-08 with total page 504 pages. Available in PDF, EPUB and Kindle. Book excerpt: This exposition of the theory of finite Hopf spaces details the development of the subject over the last thirty years, with the homology of such spaces as its main theme. The three chief areas of study in the volume are: - The study of finite H-spaces with torsion free integral homology. - The study of finite H-spaces with homology torsion. - The construction of finite H-spaces.
Download or read book Hopf Spaces written by and published by Elsevier. This book was released on 1976-01-01 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt: Hopf Spaces
Download or read book H - Spaces written by Francois Sigrist and published by Springer. This book was released on 2006-11-15 with total page 165 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Handbook of Algebraic Topology by : I.M. James
Download or read book Handbook of Algebraic Topology written by I.M. James and published by Elsevier. This book was released on 1995-07-18 with total page 1336 pages. Available in PDF, EPUB and Kindle. Book excerpt: Algebraic topology (also known as homotopy theory) is a flourishing branch of modern mathematics. It is very much an international subject and this is reflected in the background of the 36 leading experts who have contributed to the Handbook. Written for the reader who already has a grounding in the subject, the volume consists of 27 expository surveys covering the most active areas of research. They provide the researcher with an up-to-date overview of this exciting branch of mathematics.
Book Synopsis H-Spaces from a Homotopy Point of View by : James Stasheff
Download or read book H-Spaces from a Homotopy Point of View written by James Stasheff and published by Springer. This book was released on 2006-11-15 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Some Applications of Topological K-Theory by :
Download or read book Some Applications of Topological K-Theory written by and published by Elsevier. This book was released on 1980-01-01 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: Some Applications of Topological K-Theory
Book Synopsis Implications in Morava $K$-Theory by : Richard M. Kane
Download or read book Implications in Morava $K$-Theory written by Richard M. Kane and published by American Mathematical Soc.. This book was released on 1986 with total page 118 pages. Available in PDF, EPUB and Kindle. Book excerpt: This paper studies the mod 2 cohomology [italic]H*[italic]X of finite [italic]H-spaces. It is shown that when [italic]X is connected and simply connected then [italic]H*[italic]X has no indecomposables of even degree. As a consequence, [italic]H*([capital Greek]Omega[italic]X;[bold]Z) and [italic]K*[italic]X have no 2 torsion. The main result is proved by using Morava [script]K-theory.
Book Synopsis Stable and Unstable Homotopy by : William G. Dwyer
Download or read book Stable and Unstable Homotopy written by William G. Dwyer and published by American Mathematical Soc.. This book was released on 1998-01-01 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents the proceedings of workshops on stable homotopy theory and on unstable homotopy theory held at The Fields Institute as part of the homotopy program during the year 1996. The papers in the volume describe current research in the subject, and all included works were refereed. Rather than being a summary of work to be published elsewhere, each paper is the unique source for the new material it contains. The book contains current research from international experts in the subject area, and presents open problems with directions for future research.
Download or read book Algebraic Topology written by P. Hoffman and published by Springer. This book was released on 2006-11-15 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Secondary Cohomology Operations by : John R. Harper
Download or read book Secondary Cohomology Operations written by John R. Harper and published by American Mathematical Soc.. This book was released on 2002 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: Although the theory and applications of secondary cohomology operations are an important part of an advanced graduate-level algebraic topology course, there are few books on the subject. The AMS now fills that gap with the publication of the present volume. The author's main purpose in this book is to develop the theory of secondary cohomology operations for singular cohomology theory, which is treated in terms of elementary constructions from general homotopy theory. Among manyapplications considered are the Hopf invariant one theorem (for all primes $p$, including $p = 2$), Browder's theorem on higher Bockstein operations, and cohomology theory of Massey-Peterson fibrations. Numerous examples and exercises help readers to gain a working knowledge of the theory. A summary ofmore advanced parts of the core material is included in the first chapter. Prerequisite is basic algebraic topology, including the Steenrod operations. The book is geared toward graduate students and research mathematicians interested in algebraic topology and can be used for self-study or as a textbook for an advanced course on the topic. It is available in both hardcover and softcover editions.
Book Synopsis Homotopy-commutativity in H-spaces by : Roy René Douglas
Download or read book Homotopy-commutativity in H-spaces written by Roy René Douglas and published by . This book was released on 1965 with total page 110 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Introduction to Combinatorial Torsions by : Vladimir Turaev
Download or read book Introduction to Combinatorial Torsions written by Vladimir Turaev and published by Birkhäuser. This book was released on 2012-12-06 with total page 128 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an introduction to combinatorial torsions of cellular spaces and manifolds with special emphasis on torsions of 3-dimensional manifolds. The first two chapters cover algebraic foundations of the theory of torsions and various topological constructions of torsions due to K. Reidemeister, J.H.C. Whitehead, J. Milnor and the author. We also discuss connections between the torsions and the Alexander polynomials of links and 3-manifolds. The third (and last) chapter of the book deals with so-called refined torsions and the related additional structures on manifolds, specifically homological orientations and Euler structures. As an application, we give a construction of the multivariable Conway polynomial of links in homology 3-spheres. At the end of the book, we briefly describe the recent results of G. Meng, C.H. Taubes and the author on the connections between the refined torsions and the Seiberg-Witten invariant of 3-manifolds. The exposition is aimed at students, professional mathematicians and physicists interested in combinatorial aspects of topology and/or in low dimensional topology. The necessary background for the reader includes the elementary basics of topology and homological algebra.
Book Synopsis Complex Analysis and Geometry by : Vincenzo Ancona
Download or read book Complex Analysis and Geometry written by Vincenzo Ancona and published by CRC Press. This book was released on 1997-04-27 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on two conferences held in Trento, Italy, this volume contains 13 research papers and two survey papers on complex analysis and complex algebraic geometry. The main topics addressed by these leading researchers include: Mori theory polynomial hull vector bundles q-convexity Lie groups and actions on complex spaces hypercomplex structures pseudoconvex domains projective varieties Peer-reviewed and extensively referenced, Complex Analysis and Geometry contains recent advances and important research results. It also details several problems that remain open, the resolution of which could further advance the field.
Book Synopsis Current Trends in Algebraic Topology by : Richard M. Kane
Download or read book Current Trends in Algebraic Topology written by Richard M. Kane and published by American Mathematical Soc.. This book was released on 1982-01-01 with total page 542 pages. Available in PDF, EPUB and Kindle. Book excerpt: Proceedings of a Conference held at the University of Western Ontario in 1981. More than one hundred papers were presented by researchers from a wide spectrum of countries and institutions.
Book Synopsis A User's Guide to Spectral Sequences by : John McCleary
Download or read book A User's Guide to Spectral Sequences written by John McCleary and published by Cambridge University Press. This book was released on 2001 with total page 579 pages. Available in PDF, EPUB and Kindle. Book excerpt: Spectral sequences are among the most elegant and powerful methods of computation in mathematics. This book describes some of the most important examples of spectral sequences and some of their most spectacular applications. The first part treats the algebraic foundations for this sort of homological algebra, starting from informal calculations. The heart of the text is an exposition of the classical examples from homotopy theory, with chapters on the Leray-Serre spectral sequence, the Eilenberg-Moore spectral sequence, the Adams spectral sequence, and, in this new edition, the Bockstein spectral sequence. The last part of the book treats applications throughout mathematics, including the theory of knots and links, algebraic geometry, differential geometry and algebra. This is an excellent reference for students and researchers in geometry, topology, and algebra.
Book Synopsis Twisted Torsion on Compact Hyperbolic Spaces by : Maria G. Gargova Fung
Download or read book Twisted Torsion on Compact Hyperbolic Spaces written by Maria G. Gargova Fung and published by . This book was released on 1999 with total page 150 pages. Available in PDF, EPUB and Kindle. Book excerpt:
