The classifying space of an inverse semigroup
Ganna Kudryavtseva, Mark V. Lawson · arXiv (Cornell University) · 2012
We refine Funk's description of the classifying space of an inverse semigroup by replacing his *-semigroups by right generalized inverse *-semigroups. Our proof uses the idea that presheaves of sets over meet semilattices may be characterized algebraically as right normal bands.