Geometry of Loop Spaces and the Cobar Construction
Download or Read eBook Geometry of Loop Spaces and the Cobar Construction PDF 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.
Author | : Hans J. Baues |
Publisher | : American Mathematical Soc. |
Total Pages | : 194 |
Release | : 1980 |
ISBN-10 | : 9780821822302 |
ISBN-13 | : 0821822306 |
Rating | : 4/5 (02 Downloads) |
Book Synopsis Geometry of Loop Spaces and the Cobar Construction by : Hans J. Baues
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.