Abstract
The Kuratowski-Mrówka result [12, 15] that a topological space X is compact if and only if the second projection map π Y : X × Y → Y is closed for each topological space Y, has led to a number of categorical definitions of the notion of compactness.
Professor L. Stout is thanked for remarks which led to improvements in this chapter.
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Alderton, I.W. (2003). Fuzzy Compactness Via Categorical Closure Operators. In: Rodabaugh, S.E., Klement, E.P. (eds) Topological and Algebraic Structures in Fuzzy Sets. Trends in Logic, vol 20. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-0231-7_15
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