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Author : Jason Bryce McCarty
Publisher :
ISBN 13 :
Total Pages : 244 pages
Book Rating : 4.:/5 (813 download)
Download or read book The MOD 2 Homology of Infinite Loop Spaces written by Jason Bryce McCarty and published by . This book was released on 2012 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Z. Fiedorowicz
Publisher : Springer
ISBN 13 : 3540357351
Total Pages : 441 pages
Book Rating : 4.5/5 (43 download)
Download or read book Homology of Classical Groups Over Finite Fields and Their Associated Infinite Loop Spaces written by Z. Fiedorowicz and published by Springer. This book was released on 2006-11-15 with total page 441 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : F. R. Cohen
Publisher : Springer
ISBN 13 : 3540379851
Total Pages : 501 pages
Book Rating : 4.5/5 (43 download)
Download or read book The Homology of Iterated Loop Spaces written by F. R. Cohen and published by Springer. This book was released on 2007-01-05 with total page 501 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Paul Roger Turner
Publisher :
ISBN 13 :
Total Pages : 110 pages
Book Rating : 4.:/5 (643 download)
Download or read book On the Homology of Certain Infinite Loop Spaces written by Paul Roger Turner and published by . This book was released on 1993 with total page 110 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Joseph Neisendorfer
Publisher : Cambridge University Press
ISBN 13 : 1139482599
Total Pages : 575 pages
Book Rating : 4.1/5 (394 download)
Download or read book Algebraic Methods in Unstable Homotopy Theory written by Joseph Neisendorfer and published by Cambridge University Press. This book was released on 2010-02-18 with total page 575 pages. Available in PDF, EPUB and Kindle. Book excerpt: The most modern and thorough treatment of unstable homotopy theory available. The focus is on those methods from algebraic topology which are needed in the presentation of results, proven by Cohen, Moore, and the author, on the exponents of homotopy groups. The author introduces various aspects of unstable homotopy theory, including: homotopy groups with coefficients; localization and completion; the Hopf invariants of Hilton, James, and Toda; Samelson products; homotopy Bockstein spectral sequences; graded Lie algebras; differential homological algebra; and the exponent theorems concerning the homotopy groups of spheres and Moore spaces. This book is suitable for a course in unstable homotopy theory, following a first course in homotopy theory. It is also a valuable reference for both experts and graduate students wishing to enter the field.
Author : Larry Smith
Publisher : Springer
ISBN 13 : 3540397450
Total Pages : 215 pages
Book Rating : 4.5/5 (43 download)
Download or read book Algebraic Topology. Göttingen 1984 written by Larry Smith and published by Springer. This book was released on 2006-11-14 with total page 215 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : R.M. Kane
Publisher : North Holland
ISBN 13 :
Total Pages : 504 pages
Book Rating : 4.:/5 (44 download)
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.
Author : Pavle V. M. Blagojević
Publisher : Springer Nature
ISBN 13 : 3030841383
Total Pages : 217 pages
Book Rating : 4.0/5 (38 download)
Download or read book Equivariant Cohomology of Configuration Spaces Mod 2 written by Pavle V. M. Blagojević and published by Springer Nature. This book was released on 2022-01-01 with total page 217 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives a brief treatment of the equivariant cohomology of the classical configuration space F(R^d,n) from its beginnings to recent developments. This subject has been studied intensively, starting with the classical papers of Artin (1925/1947) on the theory of braids, and progressing through the work of Fox and Neuwirth (1962), Fadell and Neuwirth (1962), and Arnol'd (1969). The focus of this book is on the mod 2 equivariant cohomology algebras of F(R^d,n), whose additive structure was described by Cohen (1976) and whose algebra structure was studied in an influential paper by Hung (1990). A detailed new proof of Hung's main theorem is given, however it is shown that some of the arguments given by him on the way to his result are incorrect, as are some of the intermediate results in his paper. This invalidates a paper by three of the authors, Blagojević, Lück and Ziegler (2016), who used a claimed intermediate result in order to derive lower bounds for the existence of k-regular and l-skew embeddings. Using the new proof of Hung's main theorem, new lower bounds for the existence of highly regular embeddings are obtained: Some of them agree with the previously claimed bounds, some are weaker. Assuming only a standard graduate background in algebraic topology, this book carefully guides the reader on the way into the subject. It is aimed at graduate students and researchers interested in the development of algebraic topology in its applications in geometry.
Author : Samuel N. Kleinerman
Publisher : American Mathematical Soc.
ISBN 13 : 0821822683
Total Pages : 93 pages
Book Rating : 4.8/5 (218 download)
Download or read book The Cohomology of Chevalley Groups of Exceptional Lie Type written by Samuel N. Kleinerman and published by American Mathematical Soc.. This book was released on 1982 with total page 93 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : John McCleary
Publisher : Cambridge University Press
ISBN 13 : 0521567599
Total Pages : 579 pages
Book Rating : 4.5/5 (215 download)
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.
Author : Robert R. Bruner
Publisher : Springer
ISBN 13 : 3540397787
Total Pages : 396 pages
Book Rating : 4.5/5 (43 download)
Download or read book H Ring Spectra and Their Applications written by Robert R. Bruner and published by Springer. This book was released on 2006-11-14 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : J.P. May
Publisher : Springer
ISBN 13 : 3540376038
Total Pages : 184 pages
Book Rating : 4.5/5 (43 download)
Download or read book The Geometry of Iterated Loop Spaces written by J.P. May and published by Springer. This book was released on 2006-11-15 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 738 pages
Book Rating : 4.:/5 (36 download)
Download or read book Illinois Journal of Mathematics written by and published by . This book was released on 1981 with total page 738 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Haynes Miller
Publisher : CRC Press
ISBN 13 : 1351251600
Total Pages : 1043 pages
Book Rating : 4.3/5 (512 download)
Download or read book Handbook of Homotopy Theory written by Haynes Miller and published by CRC Press. This book was released on 2020-01-23 with total page 1043 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Handbook of Homotopy Theory provides a panoramic view of an active area in mathematics that is currently seeing dramatic solutions to long-standing open problems, and is proving itself of increasing importance across many other mathematical disciplines. The origins of the subject date back to work of Henri Poincaré and Heinz Hopf in the early 20th century, but it has seen enormous progress in the 21st century. A highlight of this volume is an introduction to and diverse applications of the newly established foundational theory of ¥ -categories. The coverage is vast, ranging from axiomatic to applied, from foundational to computational, and includes surveys of applications both geometric and algebraic. The contributors are among the most active and creative researchers in the field. The 22 chapters by 31 contributors are designed to address novices, as well as established mathematicians, interested in learning the state of the art in this field, whose methods are of increasing importance in many other areas.
Author : Ib Madsen
Publisher : Princeton University Press
ISBN 13 : 1400881471
Total Pages : 296 pages
Book Rating : 4.4/5 (8 download)
Download or read book Classifying Spaces for Surgery and Corbordism of Manifolds. (AM-92), Volume 92 written by Ib Madsen and published by Princeton University Press. This book was released on 2016-03-02 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: Beginning with a general discussion of bordism, Professors Madsen and Milgram present the homotopy theory of the surgery classifying spaces and the classifying spaces for the various required bundle theories. The next part covers more recent work on the maps between these spaces and the properties of the PL and Top characteristic classes, and includes integrality theorems for topological and PL manifolds. Later chapters treat the integral cohomology of BPL and Btop. The authors conclude with a discussion of the PL and topological cobordism rings and a construction of the torsion-free generators.
Author : Francois Sigrist
Publisher : Springer
ISBN 13 : 3540366210
Total Pages : 165 pages
Book Rating : 4.5/5 (43 download)
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:
Author : Arunas Liulevicius
Publisher : American Mathematical Soc.
ISBN 13 : 0821814222
Total Pages : 302 pages
Book Rating : 4.8/5 (218 download)
Download or read book Algebraic Topology written by Arunas Liulevicius and published by American Mathematical Soc.. This book was released on 1971 with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt:
