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-w...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.展开更多
1966年,著名的综述论文(A.V.Arhangel’skiǐ.Uspechi Mat Nauk,1966,21(4):133-184.)对一般拓扑学,尤其是广义度量空间理论,产生了强大的推动力.概述这50年间该文对一般拓扑学的历史意义与现实作用,列举了文中一些尚未解决的问题,同时...1966年,著名的综述论文(A.V.Arhangel’skiǐ.Uspechi Mat Nauk,1966,21(4):133-184.)对一般拓扑学,尤其是广义度量空间理论,产生了强大的推动力.概述这50年间该文对一般拓扑学的历史意义与现实作用,列举了文中一些尚未解决的问题,同时介绍近年来Arhangel’skiǐ的工作对中国一般拓扑学发展的一些影响.展开更多
基金Supported by the National Natural Science Foundation of China (10971185, 11171162, 11201053)China Postdoctoral Science Foundation funded project (20090461093, 201003571)+1 种基金Jiangsu Planned Projects for Teachers Overseas Research FundsTaizhou Teachers College Research Funds
文摘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.
基金Foundation item: Supported by the NSF of Fujian(Z0511033)Supported by the Eduction Committee of Fujian(JB04298)Supported by the Eduction Committee of Henan (2004606018, 200510483002)
文摘In this paper, we prove that a space with a compact Countable weak base if and only if it is a weak open cs-image of a metric space.
文摘1966年,著名的综述论文(A.V.Arhangel’skiǐ.Uspechi Mat Nauk,1966,21(4):133-184.)对一般拓扑学,尤其是广义度量空间理论,产生了强大的推动力.概述这50年间该文对一般拓扑学的历史意义与现实作用,列举了文中一些尚未解决的问题,同时介绍近年来Arhangel’skiǐ的工作对中国一般拓扑学发展的一些影响.
