In general topology and related branches of mathematics, a core-compact topological space X {\displaystyle X} is a topological space whose partially ordered set of open subsets is a continuous poset. Equivalently, X {\displaystyle X} is core-compact if it is exponentiable in the category Top of topological spaces.
In general topology and related branches of mathematics, a core-compact topological space X {\displaystyle X} is a topological space whose partially ordered set of open subsets is a continuous poset. Equivalently, X {\displaystyle X} is core-compact if it is exponentiable in the category Top of topological spaces.
Source: Wikipedia "Core-compact space" · CC BY-SA 4.0
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