English

The classifying space of an inverse semigroup

Category Theory 2012-10-17 v1

Abstract

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.

Keywords

Cite

@article{arxiv.1210.4421,
  title  = {The classifying space of an inverse semigroup},
  author = {Ganna Kudryavtseva and Mark V Lawson},
  journal= {arXiv preprint arXiv:1210.4421},
  year   = {2012}
}