Iterating the Cobar Construction is popular PDF and ePub book, written by Justin R. Smith in 1994, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Iterating the Cobar Construction can be Read Online from any device for your convenience.
Iterating the Cobar Construction Book PDF Summary
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.
Detail Book of Iterating the Cobar Construction PDF
- Author : Justin R. Smith
- Release : 21 September 1994
- Publisher : American Mathematical Soc.
- ISBN : 9780821825884
- Genre : Mathematics
- Total Page : 154 pages
- Language : English
- PDF File Size : 18,9 Mb
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