“PointCountableBase”的概念、定义、习题解题方法及翻译-数学辞典

单词	PointCountableBase
释义	point countable base Let $X$ be a topological space. A basis $\\mathcal{B}$ of $X$ is a point countable base if every point of $X$ is contained in at most countably many sets of $\\mathcal{B}$ . 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.
随便看	The natural numbers The object classifier TheOddBernoulliNumbersAreZero the odd Bernoulli numbers are zero TheOnlyCompactMetricSpacesThatAdmitAPositivelyExpansiveHomeomorphismAreDiscreteSpaces the only compact metric spaces that admit a positively expansive homeomorphism are discrete spaces TheoremAboutContinuousConvergence theorem about continuous convergence TheoremAboutCyclicSubspaces theorem about cyclic subspaces TheoremForNormalMatrices theorem for normal matrices TheoremForNormalTriangularMatrices theorem for normal triangular matrices TheoremForTheDirectSumOfFiniteDimensionalVectorSpaces theorem for the direct sum of finite dimensional vector spaces TheoremOnCollatzSequencesStartingWithMersenneNumbers theorem on Collatz sequences starting with Mersenne numbers TheoremOnConstructibleAngles theorem on constructible angles TheoremOnConstructibleNumbers theorem on constructible numbers TheoremOnMultiplesOfAbundantNumbers theorem on multiples of abundant numbers TheoremOnSumsOfTwoSquaresByFermat

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point countable base

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