Geometry of Loop Spaces and the Cobar Construction

Geometry of Loop Spaces and the Cobar Construction
Author :
Publisher : American Mathematical Soc.
Total Pages : 194
Release :
ISBN-10 : 9780821822302
ISBN-13 : 0821822306
Rating : 4/5 (306 Downloads)

Book Synopsis Geometry of Loop Spaces and the Cobar Construction by : Hans J. Baues

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.

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