Inverse Semigroups and Locally Compact Groupoids

Abstract

In this section we give a brief and largely self-contained account of the results on inverse semigroups that will be required in the sequel. The results we need from the algebraic theory of semigroups are well-known, and are contained in the standard textbooks (such as [50, 51, 133, 202]). However, for the convenience of the reader and for the purpose of establishing notation, an account concentrating on what we will need later from that theory is desirable.KeywordsVector BundleOpen SubsetInverse SemigroupPartial IsometryCompact Hausdorff SpaceThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.