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U-Closure Operators and Compactness

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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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Authors and Affiliations

  1. Department of Mathematics, University of Puerto Rico, P.O. Box 9018, Mayagüez, PR 00681-9018, Puerto Rico

    G. Castellini

  2. Dipartimento di Matematica, Universitá di L'Aquila, 67100, L'Aquila, Italy

    E. Giuli

Authors
  1. G. Castellini
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  2. E. Giuli
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Correspondence to G. Castellini.

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Castellini, G., Giuli, E. U-Closure Operators and Compactness. Appl Categor Struct 13, 453–467 (2005). https://doi.org/10.1007/s10485-005-9001-8

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  • DOI: https://doi.org/10.1007/s10485-005-9001-8

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