The synthetic presentation of the main research directions in groupoid theory
Gheorghe Ivan
TL;DR
This paper systematically reviews the main research directions and results in groupoid theory, covering various types such as topological, Lie, and vector space-groupoids, to provide a comprehensive overview.
Contribution
It offers a structured exposition of key findings in groupoid theory, highlighting different classes and their interrelations for the first time.
Findings
Summarizes main results in groupoid theory
Classifies types of groupoids studied
Identifies key research directions
Abstract
The purpose of this paper is to present a systematic exposition of the main results obtained in the studies carried out in groupoid theory. Key words and phrases: groupoid, topological groupoid, Lie groupoid, group-groupoid, vector space-groupoid.
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Taxonomy
TopicsMathematics, Computing, and Information Processing