Download or read book Groupoids and Semigroupoids written by Maria Vasko and published by . This book was released on 2013 with total page 73 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of semigroupoids and groupoids makes the transition between arbitrary sets and groups. The usefulness of developing theory stems from various applications where a group structure is lacking, yet there exists some "milder" structure on the set considered. There are numerous applications of semigroupoids/groupoids in: metrization theory, functional analysis, topology, and physics, among others. The material in this thesis is the result of the author's getting acquainted with developments in the theory of semigroupoids/groupoids while reading the recent monograph "Groupoid Metrization Theory With Applications to Analysis on Quasi-Metric Spaces and Functional Analysis" by D. Mitrea, I. Mitrea, M. Mitrea, and S. Monniaux, various parts of which are reproduced in this thesis. In the process, several new avenues are explored for the first time, which contribute to a fuller understanding of this dynamic field.