Partial monoids and Dold-Thom functors
Algebraic Topology
2013-02-07 v2
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 -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.
Cite
@article{arxiv.0712.3444,
title = {Partial monoids and Dold-Thom functors},
author = {Jacob Mostovoy},
journal= {arXiv preprint arXiv:0712.3444},
year = {2013}
}