Spaces with σ-point-discrete N_0-weak bases  

作　　者：SHEN Rong-xin LIN Shou 

机构地区：[1]Department of Mathematics, Taizhou Teachers' College [2]Department of Mathematics, Nanjing University [3]Department of Mathematics, Ningde Normal University

出　　处：《Applied Mathematics(A Journal of Chinese Universities)》2013年第1期116-126,共11页高校应用数学学报（英文版）（B辑）

基　　金：Supported by the National Natural Science Foundation of China (10971185, 11171162, 11201053);China Postdoctoral Science Foundation funded project (20090461093, 201003571);Jiangsu Planned Projects for Teachers Overseas Research Funds;Taizhou Teachers College Research Funds

摘　　要：It is discussed in this paper the spaces with σ-point-discrete N_0-weak bases. The main results are： （1） A space X has a σ-compact-finite N_0-weak base if and only if X is a k-space with a σ-point-discrete N_0-weak base; （2） Under （CH）, every separable space with a σ-point-discrete N_0-weak base has a countable N_0-weak base.It is discussed in this paper the spaces with σ-point-discrete N_0-weak bases. The main results are： （1） A space X has a σ-compact-finite N_0-weak base if and only if X is a k-space with a σ-point-discrete N_0-weak base; （2） Under （CH）, every separable space with a σ-point-discrete N_0-weak base has a countable N_0-weak base.

关 键 词：N_0-weak base σ-point-discrete network σ-compact-finite network separable space. 

分 类 号：O189.11[理学—数学]