Partial monoids and Dold-Thom functors

2007/12/20 by Jacob Mostovoy, Mostovoy, Jacob · 1 citation
Mathematics · #55N20 #Advanced Topics in Algebra #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.0712.3444

openalex publication_date 2007/12/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Dold-Thom functors are generalizations of infinite symmetric products, where integer multiplicities of points are replaced by composable elements of a partial abelian monoid. It is well-known that for any connective homology theory, the machinery of Γ-spaces produces the corresponding linear Dold-Thom functor. In this note we construct such functors directly from spectra by exhibiting a partial monoid corresponding to a spectrum.

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