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U-Closure Operators and Compactness
Authors:G Castellini  E Giuli
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
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.
Keywords:18A22  18A32  06A15
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