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microcompact

Last-modified: 2011-08-20 (土) 22:20:59

Definition Edit

A topological space X is called microcompact if for every point x in X and every neighborhood V of x, there is a compact Hausdorff neighborhood U of x which is included in V.

Reference Edit

  • Mathieu Baillif and Alexandre Gabard, Manifolds: Hausdorffness versus homogeneity, Proc. Amer. Math. Soc. 136 (2008) 1105-1111.