Partial monoids and Dold-Thom functors

Mathematics – Algebraic Topology

Scientific paper

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Scientific paper

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 $\Gamma$-spaces produces the corresponding linear Dold-Thom functor. In this note we show how to obtain such functors directly from $\Omega$-spectra.

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