U-Closure Operators and Compactness |
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Authors: | G Castellini E Giuli |
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Institution: | (1) Department of Mathematics, University of Puerto Rico, P.O. Box 9018, Mayagüez, PR 00681-9018, Puerto Rico;(2) Dipartimento di Matematica, Universitá di L'Aquila, 67100 L'Aquila, Italy |
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Abstract: | A notion of compactness with respect to a previously introduced notion of functor induced closure operator is presented and
analyzed. Even though this new notion shows very similar properties to compactness with respect to the classical notion of
categorical closure operator, in general the two concepts are different. Examples are provided. |
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Keywords: | 18A22 18A32 06A15 |
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