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

单词	AlternativeCharacterizationOfStonevCechCompactification
释义	alternative characterization of Stone-Čech compactification The Stone-Čech compactificaton of a space is the set of all ultrafilters¹¹Here, the term “utrafilter” is used to denote ultrafilters withrespects to the topology of the space. with the topology generated by the Stone-basis.
随便看	TheInverseImageCommutesWithSetOperations the inverse image commutes with set operations TheJinvariantClassifiesEllipticCurvesUpToIsomorphism the j-invariant classifies elliptic curves up to isomorphism TheKernelOfAGroupHomomorphismIsANormalSubgroup the kernel of a group homomorphism is a normal subgroup TheLimitOfAUniformlyConvergentSequenceOfContinuousFunctionsIsContinuous the limit of a uniformly convergent sequence of continuous functions is continuous The logic of mere propositions TheMultiplicativeIdentityOfACyclicRingMustBeAGenerator the multiplicative identity of a cyclic ring must be a generator 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

数学辞典收录了18232条数学词条，基本涵盖了常用数学知识及数学英语单词词组的翻译及用法，是数学学习的有利工具。

alternative characterization of Stone-Čech compactification