Geometric topological completions with universal final lifts |
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Authors: | MV Mielke |
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Institution: | University of Miami, Coral Gables, FL 33124, USA |
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Abstract: | In this paper necessary and sufficient conditions are given on a concrete category over a category B so that it can be densely embedded (over B) into a geometric topological category E that admits certain universal final lifts. These conditions, as well as the class of universal final lifts, depend upon an a priori given full subcategory Δ of B. For example, E may have, depending upon Δ and B, universal coproducts or quotients or colimits. For appropriate Δ's, if B is cartesian closed then so is E. |
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Keywords: | Primary 18B15 18D15 18A35 Secondary 54A05 54B30 |
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