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Categorical Closure Operators

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Categorical Perspectives

Part of the book series: Trends in Mathematics ((TM))

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Abstract

A brief survey of the development of the theory of closure operators is presented. Results concerning the applications of the theory to epimorphisms, separation, compactness and connectedness are also included together with a number of supporting examples.

The author acknowledges support from the Research Office of the Faculty of Arts and Sciences of the University of Puerto Rico — Mayagüez campus.

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Authors and Affiliations

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

    G. Castellini

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  1. G. Castellini
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Editors and Affiliations

  1. Institut für Theoretische Informatik, TU Braunschweig, 38023, Braunschweig, Germany

    Jürgen Koslowski

  2. Department of Mathematics and Computer Science, Kent State University, Kent, OH, 44242, USA

    Austin Melton

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Castellini, G. (2001). Categorical Closure Operators. In: Koslowski, J., Melton, A. (eds) Categorical Perspectives. Trends in Mathematics. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-1370-3_8

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  • DOI: https://doi.org/10.1007/978-1-4612-1370-3_8

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