The Geometry of Iterated Loop Spaces PDF Download

Author: J.P. May
Publisher: Springer
ISBN: 3540376038
Category : Mathematics
Languages : en
Pages : 184

View

Book Description

Author: J. Peter May
Publisher:
ISBN:
Category : Categories (Mathematics)
Languages : en
Pages : 175

View

Book Description

Author: J. Peter May
Publisher: Springer
ISBN: 9780387059044
Category : Espaces bouclés
Languages : en
Pages : 175

View

Book Description

Author: F. R. Cohen
Publisher: Springer
ISBN: 3540379851
Category : Mathematics
Languages : en
Pages : 501

View

Book Description

Author: F. R. Cohen
Publisher:
ISBN: 9783662209226
Category :
Languages : en
Pages : 508

View

Book Description

Author: Frederick Ronald Cohen
Publisher: Springer
ISBN: 9780387079844
Category : Classifying spaces
Languages : en
Pages : 490

View

Book Description

Author: Hans J. Baues
Publisher: American Mathematical Soc.
ISBN: 0821822306
Category : Mathematics
Languages : en
Pages : 194

View

Book Description
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: Christopher Leonard Reedy
Publisher:
ISBN:
Category :
Languages : en
Pages : 46

View

Book Description

Author: Jeffrey Strom
Publisher: American Mathematical Society
ISBN: 1470471639
Category : Mathematics
Languages : en
Pages : 862

View

Book Description
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: Laszlo Feher
Publisher: World Scientific
ISBN: 9814553956
Category :
Languages : en
Pages : 124

View

Book Description
These lectures introduce some very popular fields in topology. The topics discussed are interrelated with modern physics and include works of four leading researchers: M Atiyah, R Bott, J Jones and G Segal. The original lectures presented at the conference at Budapest are enlarged with appendices to make these notes self-contained.