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2010•Journal of Jiamusi UniversityRequires access

Study on Countable aD-Space

Dai Xiao-qin

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Abstract

This article defines the concept of countable aD-space,through the study of some properties of the countable aD-space,it is proved that the closed subspaces of countable aD-space are countable aD-space;If X=Y∪Z and X is a T1-space,Y and Z are both countable aD-space,then X is a countable aD-space;If X is the union of countable closed countable aD-space,then X is a countable aD-space;The inverse mapping of countable aD-space into perfect mapping is a countable aD-space.

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What this paper is about

This article defines the concept of countable aD-space,through the study of some properties of the countable aD-space,it is proved that the closed subspaces of countable aD-space are countable aD-space;If X=Y∪Z and X is a T1-space,Y and Z are both countable aD-space,then X is a countable aD-space;If X is the union of countable closed countable aD-space,then X is a countable aD-space;The inverse mapping of countable aD-space into perfect mapping is a countable aD-space.

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Available abstract

This article defines the concept of countable aD-space,through the study of some properties of the countable aD-space,it is proved that the closed subspaces of countable aD-space are countable aD-space;If X=Y∪Z and X is a T1-space,Y and Z are both countable aD-space,then X is a countable aD-space;If X is the union of countable closed countable aD-space,then X is a countable aD-space;The inverse mapping of countable aD-space into perfect mapping is a countable aD-space.

Key concepts: Cosmic space, Countable set, Mathematics, Second-countable space, Space (punctuation), Linear subspace, Pure mathematics, Discrete mathematics

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