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dc.contributor.advisorMitrea, Dorina, 1965-eng
dc.contributor.authorVasko, Mariaeng
dc.date.issued2013eng
dc.date.submitted2013 Springeng
dc.descriptionTitle from PDF of title page (University of Missouri--Columbia, viewed on September 18, 2013).eng
dc.descriptionThe entire thesis text is included in the research.pdf file; the official abstract appears in the short.pdf file; a non-technical public abstract appears in the public.pdf file.eng
dc.descriptionThesis advisor: Dr. Dorina Mitreaeng
dc.descriptionIncludes bibliographical references.eng
dc.descriptionM.A. University of Missouri-Columbia, 2013.eng
dc.descriptionDissertations, Academic -- University of Missouri--Columbia -- Mathematics.eng
dc.description"May 2013"eng
dc.description.abstract[ACCESS RESTRICTED TO THE UNIVERSITY OF MISSOURI AT AUTHOR'S REQUEST.] 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.eng
dc.format.extentv, 73 pageseng
dc.identifier.urihttp://hdl.handle.net/10355/38598
dc.languageEnglisheng
dc.publisherUniversity of Missouri--Columbiaeng
dc.relation.ispartofcommunityUniversity of Missouri--Columbia. Graduate School. Theses and Dissertationseng
dc.rightsAccess is limited to the University of Missouri - Columbia.eng
dc.sourceSubmitted by the University of Missouri--Columbia Graduate Schooleng
dc.subjectarbitrary setseng
dc.subjectgroup structureeng
dc.subjectmetrization theoryeng
dc.titleGroupoids and semigroupoidseng
dc.typeThesiseng
thesis.degree.disciplineMathematics (MU)eng
thesis.degree.grantorUniversity of Missouri--Columbiaeng
thesis.degree.levelMasterseng
thesis.degree.nameM.A.eng


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