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The Homology of Iterated Loop Spaces

The Homology of Iterated Loop Spaces PDF Author: F. R. Cohen
Publisher: Springer
ISBN: 3540379851
Category : Mathematics
Languages : en
Pages : 501

Book Description


The Homology of Iterated Loop Spaces

The Homology of Iterated Loop Spaces PDF Author: F. R. Cohen
Publisher: Springer
ISBN: 3540379851
Category : Mathematics
Languages : en
Pages : 501

Book Description


The Homology of Iterated Loop Spaces

The Homology of Iterated Loop Spaces PDF Author: F. R. Cohen
Publisher:
ISBN: 9783662209226
Category :
Languages : en
Pages : 508

Book Description


The Homology of Iterated Loop Spaces

The Homology of Iterated Loop Spaces PDF Author: Frederick Ronald Cohen
Publisher: Springer
ISBN: 9780387079844
Category : Classifying spaces
Languages : en
Pages : 490

Book Description


The Geometry of Iterated Loop Spaces

The Geometry of Iterated Loop Spaces PDF Author: J.P. May
Publisher: Springer
ISBN: 3540376038
Category : Mathematics
Languages : en
Pages : 184

Book Description


The Homology of Iterated Loop Spaces

The Homology of Iterated Loop Spaces PDF Author: Christopher J. Preston
Publisher:
ISBN: 9780387078526
Category : Classifying spaces
Languages : en
Pages : 200

Book Description


The Geometry of Iterated Loop Spaces

The Geometry of Iterated Loop Spaces PDF Author: J. Peter May
Publisher:
ISBN:
Category : Categories (Mathematics)
Languages : en
Pages : 175

Book Description


Algebraic Methods in Unstable Homotopy Theory

Algebraic Methods in Unstable Homotopy Theory PDF Author: Joseph Neisendorfer
Publisher: Cambridge University Press
ISBN: 1139482599
Category : Mathematics
Languages : en
Pages : 575

Book Description
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.

The Homology of Hopf Spaces

The Homology of Hopf Spaces PDF Author: R.M. Kane
Publisher: North Holland
ISBN:
Category : Mathematics
Languages : en
Pages : 504

Book Description
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.

Geometry of Loop Spaces and the Cobar Construction

Geometry of Loop Spaces and the Cobar Construction PDF Author: Hans J. Baues
Publisher: American Mathematical Soc.
ISBN: 0821822306
Category : Mathematics
Languages : en
Pages : 194

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.

The Geometry of Iterated Loop Spaces

The Geometry of Iterated Loop Spaces PDF Author: J. Peter May
Publisher: Springer
ISBN: 9780387059044
Category : Espaces bouclés
Languages : en
Pages : 175

Book Description