  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 construct such functors directly from
spectra by exhibiting a partial monoid corresponding to a spectrum.
