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arXiv 0906.3433math.LO
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公开闭集的度量补

Metric complements of overt closed sets

Thierry Coquand, Erik Palmgren, Bas Spitters

摘要:

本文证明了Bishop-局部紧度量空间的度量完备的显闭子空间的点集的位置。因此,如果子空间是紧的,那么它的点集是毕晓普紧的。

英文摘要:

We show that the set of points of an overt closed subspace of a metric completion of a Bishop-locally compact metric space is located. Consequently, if the subspace is, moreover, compact, then its collection of points is Bishop compact.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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