Wang Xian
Abstract
Based on the existent knowledge,it is proved that if X is an Hausdorff space Y,Y is paracompact in X,then Y is regular in X.The relative topological properties of subspace of regular,normal,compact,paracompact and sequential space are discussed.And some known results are generalized.
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Based on the existent knowledge,it is proved that if X is an Hausdorff space Y,Y is paracompact in X,then Y is regular in X.The relative topological properties of subspace of regular,normal,compact,paracompact and sequential space are discussed.And some known results are generalized.
Key concepts: Paracompact space, Hausdorff space, Normal space, Subspace topology, Space (punctuation), Mathematics, Topological space, Pure mathematics