Iterating the Cobar Construction

Iterating the Cobar Construction
Author :
Publisher : American Mathematical Soc.
Total Pages : 154
Release :
ISBN-10 : 9780821825884
ISBN-13 : 0821825887
Rating : 4/5 (84 Downloads)

Book Synopsis Iterating the Cobar Construction by : Justin R. Smith

Download or read book Iterating the Cobar Construction written by Justin R. Smith and published by American Mathematical Soc.. This book was released on 1994 with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt: This paper develops a new invariant of a CW-complex called the m-structure and uses it to perform homotopy-theoretic computations. The m-structure of a space encapsulates the coproduct structure, as well as higher-coproduct structures that determine Steenrod-operations. Given an m-structure on the chain complex of a reduced simplicial complex of a pointed simply-connected space, one can equip the cobar construction of this chain-complex with a natural m-structure. This result allows one to form iterated cobar constructions that are shown to be homotopy equivalent to iterated loop-spaces.


Iterating the Cobar Construction Related Books

Iterating the Cobar Construction
Language: en
Pages: 154
Authors: Justin R. Smith
Categories: Mathematics
Type: BOOK - Published: 1994 - Publisher: American Mathematical Soc.

DOWNLOAD EBOOK

This paper develops a new invariant of a CW-complex called the m-structure and uses it to perform homotopy-theoretic computations. The m-structure of a space en
Geometry of Loop Spaces and the Cobar Construction
Language: en
Pages: 194
Authors: Hans J. Baues
Categories: Mathematics
Type: BOOK - Published: 1980 - Publisher: American Mathematical Soc.

DOWNLOAD EBOOK

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 int
Hilbert's Projective Metric and Iterated Nonlinear Maps
Language: en
Pages: 148
Authors: Roger D. Nussbaum
Categories: Mathematics
Type: BOOK - Published: 1988 - Publisher: American Mathematical Soc.

DOWNLOAD EBOOK

H - Spaces
Language: en
Pages: 165
Authors: Francois Sigrist
Categories: Mathematics
Type: BOOK - Published: 2006-11-15 - Publisher: Springer

DOWNLOAD EBOOK

Operads in Algebra, Topology and Physics
Language: en
Pages: 362
Authors: Martin Markl
Categories: Mathematics
Type: BOOK - Published: 2002 - Publisher: American Mathematical Soc.

DOWNLOAD EBOOK

Operads are mathematical devices which describe algebraic structures of many varieties and in various categories. From their beginnings in the 1960s, they have