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单词 PointCountableBase
释义

point countable base


Let X be a topological spaceMathworldPlanetmath. A basis of X is a point countable base if every point of X is contained in at most countably many sets of .

Any uniform base is a point countable base, and a theorem of R. W. Heath states that every semimetric space with a point countable base is developable.

References

  • 1 Steen, Lynn Arthur and Seebach, J. Arthur, Counterexamples in Topology, Dover Books, 1995.
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更新时间:2025/5/4 17:47:30