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microquasi-compact

Last-modified: 2011-08-21 (日) 01:29:11

Definition Edit

A topological space X is called microquasi-compact if for every point x in X and every neighborhood V of x, there is a quasicompact (i.e. compact, but not necessarily 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.