On decompositions in homotopy theory-Reference-Cited by-同舟云学术

On decompositions in homotopy theory

Published:2005-12-20 Issue:8 Volume:358 Page:3305-3328
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Gray Brayton

Abstract

We first describe Krull-Schmidt theorems decomposing H H spaces and simply-connected co- H H spaces into atomic factors in the category of pointed nilpotent p p -complete spaces of finite type. We use this to construct a 1-1 correspondence between homotopy types of atomic H H spaces and homotopy types of atomic co- H H spaces, and construct a split fibration which connects them and illuminates the decomposition. Various properties of these constructions are analyzed.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/2006-358-08/S0002-9947-05-03964-4/S0002-9947-05-03964-4.pdf

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