以下为句子列表：
英文: A number of properties of countable topological space were given systematically, such as its countability, separability, compactness and connectedness, including their proofs on the basis of the nature of topological space, real number space and correspon
中文: 摘要在可数补拓扑空间的拓扑性质的研究基础上，系统的给出了可数补拓扑空间的可数性，分离性，紧致性，连通性等性质，并给予证明。
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英文: Based on several examples, this paper introduces several kinds of particular topological space construction, which brought a series of conclusion.
中文: 摘要通过若干例题介绍了几种典型的拓扑空间构造法，并带来一系列的结论。
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英文: This paper discusses the relationship between quasi-concave and pseudo-convex in the generalized convex function in the Linear topological space and offers some conditions of equivalence.
中文: 摘要讨论了线性拓扑空间上广义凸函数中的拟凸与伪凸之间的关系，并给出它们之间的一些等价条件。
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