Core-compact space

id: core-compact-space-248-8340699
title: Core-compact space
text: In general topology and related branches of mathematics, a core-compact topological space X is a topological space whose partially ordered set of open subsets is a continuous poset. Equivalently, X is core-compact if it is exponentiable in the category Top of topological spaces. Expanding the definition of an exponential object, this means that for any Y , the set of continuous functions C has a topology such that function application is a unique continuous function from X × C to Y , which is gi
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category slug: encyclopedia
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original url: https://en.wikipedia.org/wiki/Core-compact_space
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date modified: 2023-06-28T19:24:38Z
main entity: {"identifier":"Q117312499","url":"https://www.wikidata.org/entity/Q117312499"}
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