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shi shu lian xu xing ji ben ding li de deng jia xing
Pages: 55-57
Year: Issue:  2
Journal: Xinjiang Radio and TV University Journal

Abstract: 本文承认Cauchy收敛准则为真,即作为公理,然后由它出发,依次证明确界定理,单调有界原理,闭区间套定理,致密性定理,聚点定理,有限覆盖定理,最后再利用有限覆盖定理证明Cauchy收敛准则从而推出,描述实数连续性的七个基本定理相互等价.
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