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Torsion theories in the category of topological spaces

Posted on:2010-04-23Degree:M.SType:Thesis
University:University of Puerto Rico, Mayaguez (Puerto Rico)Candidate:Rodriguez Arango, Julian DavidFull Text:PDF
GTID:2440390002477428Subject:Mathematics
Abstract/Summary:
In Algebra, specifically within the category of abelian groups, there exist the concepts of torsion theory and radical. These concepts are closely related through a proposition which shows a one to one correspondence between them.;In this study, the concepts of torsion theory and radical are defined in the categories of topological spaces and pointed topological spaces. Some propositions that relates these concepts in a similar way to the algebraic case are presented.
Keywords/Search Tags:Torsion, Topological, Concepts
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