Images and Preimages of D0 Spaces

数学季刊 ›› 1994, Vol. 9 ›› Issue (4): 31-36.

Images and Preimages of D₀ Spaces

Department of Math.and Informalim Science,Universily of Cucmgzi

收稿日期:1994-03-27 出版日期:1994-12-30 发布日期:2025-04-08
基金资助:
Supported by the National Science Foundation of China and Education Comm.of Guangxi.

Images and Preimages of D₀ Spaces

Department of Math.and Informalim Science,Universily of Cucmgzi

Received:1994-03-27 Online:1994-12-30 Published:2025-04-08
Supported by:
Supported by the National Science Foundation of China and Education Comm.of Guangxi.

摘要/Abstract

摘要： This paper is devoted to the images and preimages of D_o spaces.First of all,we prove that the preimage X_o f a D_ospace Y under a perfect mapping f is a D_ospace whenever X has a G_i-diagonal or every compact subset of X if G. And then we give a representation theorem of D_o spaces. At last,we give a characterization of countably compact D_o spaces.

关键词: , D_o , space, paracompact M space, compact-covering mapping, open mapping, closed mapping, property wD

Abstract: This paper is devoted to the images and preimages of D_o spaces.First of all,we prove that the preimage X_o f a D_ospace Y under a perfect mapping f is a D_ospace whenever X has a G_i-diagonal or every compact subset of X if G. And then we give a representation theorem of D_o spaces. At last,we give a characterization of countably compact D_o spaces.

Key words: , D_o , space, paracompact M space, compact-covering mapping, open mapping, closed mapping, property wD

中图分类号:

O177

戴牧民, 陈海燕. Images and Preimages of D₀ Spaces[J]. 数学季刊, 1994, 9(4): 31-36.

Dai Mumin, Chen Haiyan. Images and Preimages of D₀ Spaces[J]. Chinese Quarterly Journal of Mathematics, 1994, 9(4): 31-36.

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Images and Preimages of D₀ Spaces

Images and Preimages of D₀ Spaces

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