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Geometry of Loop Spaces and the Cobar Construction
Hans J. Baues
出版American Mathematical Soc., 1980
主題Mathematics / Geometry / General
ISBN08218223069780821822302
URLhttp://books.google.com.hk/books?id=5hvUCQAAQBAJ&hl=&source=gbs_api
EBookSAMPLE
註釋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.