Abstract
We outline the development of a cohomology theory for compact monoids which extends the existing theory for finite monoids. This research was inspired by the work of K. H. Hofmann and P. S. Mostert [2], which defines the cohomology of a compact group in terms of the Cech cohomology of its classifying space. We use the classifying space construction of A. Dold and R. Lashof [1].
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