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Author : J.P. May
Publisher : Springer
ISBN 13 : 3540376038
Total Pages : 184 pages
Book Rating : 4.33/5 ( 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 : J. Peter May
Publisher :
ISBN 13 :
Total Pages : 175 pages
Book Rating : 4.90/5 ( download)
Download or read book The Geometry of Iterated Loop Spaces written by J. Peter May and published by . This book was released on 1972 with total page 175 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : J. Peter May
Publisher : Springer
ISBN 13 : 9780387059044
Total Pages : 175 pages
Book Rating : 4.40/5 ( download)
Download or read book The Geometry of Iterated Loop Spaces written by J. Peter May and published by Springer. This book was released on 1972 with total page 175 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : F. R. Cohen
Publisher : Springer
ISBN 13 : 3540379851
Total Pages : 501 pages
Book Rating : 4.50/5 ( 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 : F. R. Cohen
Publisher :
ISBN 13 : 9783662209226
Total Pages : 508 pages
Book Rating : 4.25/5 ( download)
Download or read book The Homology of Iterated Loop Spaces written by F. R. Cohen and published by . This book was released on 2014-01-15 with total page 508 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Frederick Ronald Cohen
Publisher : Springer
ISBN 13 : 9780387079844
Total Pages : 490 pages
Book Rating : 4.4X/5 ( download)
Download or read book The Homology of Iterated Loop Spaces written by Frederick Ronald Cohen and published by Springer. This book was released on 1976 with total page 490 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Hans J. Baues
Publisher : American Mathematical Soc.
ISBN 13 : 0821822306
Total Pages : 194 pages
Book Rating : 4.02/5 ( download)
Download or read book Geometry of Loop Spaces and the Cobar Construction written by Hans J. Baues and published by American Mathematical Soc.. This book was released on 1980 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt: The homology of iterated loop spaces [capital Greek]Omega [superscript]n [italic]X has always been a problem of major interest because it gives some insight into the homotopy of [italic]X, among other things. Therefore, if [italic]X is a CW-complex, one has been interested in small CW models for [capital Greek]Omega [superscript]n [italic]X in order to compute the cellular chain complex. The author proves a very general model theorem from which he can derive models, in addition to very technical proofs of the model theorem for several other models.
Author : Jean-Luc Brylinski
Publisher : Springer Science & Business Media
ISBN 13 : 0817647317
Total Pages : 318 pages
Book Rating : 4.15/5 ( download)
Download or read book Loop Spaces, Characteristic Classes and Geometric Quantization written by Jean-Luc Brylinski and published by Springer Science & Business Media. This book was released on 2009-12-30 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book examines the differential geometry of manifolds, loop spaces, line bundles and groupoids, and the relations of this geometry to mathematical physics. Applications presented in the book involve anomaly line bundles on loop spaces and anomaly functionals, central extensions of loop groups, Kähler geometry of the space of knots, and Cheeger--Chern--Simons secondary characteristics classes. It also covers the Dirac monopole and Dirac’s quantization of the electrical charge.
Author : Jeffrey Strom
Publisher : American Mathematical Society
ISBN 13 : 1470471639
Total Pages : 862 pages
Book Rating : 4.37/5 ( download)
Download or read book Modern Classical Homotopy Theory written by Jeffrey Strom and published by American Mathematical Society. This book was released on 2023-01-19 with total page 862 pages. Available in PDF, EPUB and Kindle. Book excerpt: The core of classical homotopy theory is a body of ideas and theorems that emerged in the 1950s and was later largely codified in the notion of a model category. This core includes the notions of fibration and cofibration; CW complexes; long fiber and cofiber sequences; loop spaces and suspensions; and so on. Brown's representability theorems show that homology and cohomology are also contained in classical homotopy theory. This text develops classical homotopy theory from a modern point of view, meaning that the exposition is informed by the theory of model categories and that homotopy limits and colimits play central roles. The exposition is guided by the principle that it is generally preferable to prove topological results using topology (rather than algebra). The language and basic theory of homotopy limits and colimits make it possible to penetrate deep into the subject with just the rudiments of algebra. The text does reach advanced territory, including the Steenrod algebra, Bott periodicity, localization, the Exponent Theorem of Cohen, Moore, and Neisendorfer, and Miller's Theorem on the Sullivan Conjecture. Thus the reader is given the tools needed to understand and participate in research at (part of) the current frontier of homotopy theory. Proofs are not provided outright. Rather, they are presented in the form of directed problem sets. To the expert, these read as terse proofs; to novices they are challenges that draw them in and help them to thoroughly understand the arguments.
Author : Robert J. Wellington
Publisher : American Mathematical Soc.
ISBN 13 : 0821822586
Total Pages : 237 pages
Book Rating : 4.86/5 ( download)
Download or read book The Unstable Adams Spectral Sequence for Free Iterated Loop Spaces written by Robert J. Wellington and published by American Mathematical Soc.. This book was released on 1982 with total page 237 pages. Available in PDF, EPUB and Kindle. Book excerpt: The semi-stable homotopy groups of a topological space [italic]X are the unstable homotopy groups [lowercase Greek]Pi [subscript]*[capital Greek]Sigma[superscript]n[italic]X, [italic]n [greater than symbol] 0, of the suspensions of [italic]X. This monograph is concerned with computing these semi-stable homotopy groups using the unstable Adams spectral sequence for the free iterated loop spaces [capital Greek]Omega[superscript italic]n [capital Greek]Sigma[superscript italic]n [italic]X generated by [italic]X.
