From Γ-spaces to algebraic theories-Reference-Cited by-同舟云学术

From Γ-spaces to algebraic theories

Published:2004-12-16 Issue:5 Volume:357 Page:1779-1799
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Badzioch Bernard

Abstract

The paper examines semi-theories, that is, formalisms of the type of the Γ \Gamma -spaces of Segal which describe homotopy structures on topological spaces. It is shown that for any semi-theory one can find an algebraic theory describing the same structure on spaces as the original semi-theory. As a consequence one obtains a criterion for establishing when two semi-theories describe equivalent homotopy structures.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/2005-357-05/S0002-9947-04-03711-0/S0002-9947-04-03711-0.pdf

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4. A. K. Bousfield The simplicial homotopy theory of iterated loop spaces, manuscript, 1992.

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