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

单词	EveryOrderedFieldWithTheLeastUpperBoundPropertyIsIsomorphicToTheRealNumbers
释义	every ordered field with the least upper bound property is isomorphic to the real numbers Let $F$ be an ordered field. If $F$ satisfies the least upper bound propertythen $F$ is isomorphic as an ordered field to the real numbers $\\mathbb{R}$ .
随便看	112IdentityTypes 1.12 Identity types 1131ConstructionOfCauchyReals 11.3.1 Construction of Cauchy reals 1132InductionAndRecursionOnCauchyReals 11.3.2 Induction and recursion on Cauchy reals 1133TheAlgebraicStructureOfCauchyReals 11.3.3 The algebraic structure of Cauchy reals 1134CauchyRealsAreCauchyComplete 11.3.4 Cauchy reals are Cauchy complete 113CauchyReals 11.3 Cauchy reals 114ComparisonOfCauchyAndDedekindReals 11.4 Comparison of Cauchy and Dedekind reals 115CompactnessOfTheInterval 11.5 Compactness of the interval 116TheSurrealNumbers 11.6 The surreal numbers 11nnIsAnIncreasingSequence (1+1/n)^n is an increasing sequence 11RealNumbers 11. Real numbers 11TypeTheoryVersusSetTheory 1.1 Type theory versus set theory 12FunctionTypes

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every ordered field with the least upper bound property is isomorphic to the real numbers