From Γ-spaces to algebraic theories

2003/05/31 by Bernard Badzioch, Badzioch, Bernard · 1 citation
Mathematics · #55P48 #Advanced Topics in Algebra #Algebraic Topology (math.AT) #FOS: Mathematics #math.AT #msc:55P48

paper · pdf · doi:10.48550/arxiv.math/0306010

23 pages

arxiv created 2003/05/31 · openalex publication_date 2003/05/31 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The paper examines machines of the type of the Γ-spaces of Segal which describe homotopy structures on topological spaces. The main result of the paper shows that for any such machine one can find an algebraic theory characterizing the same structure on spaces as the original machine.

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• Rigidification of Homotopy Algebras over Finite Product Sketches

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