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
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...
Supported by the NNSF of China(10971185); Supported by the China Postdoctoral Science Foundation Funded Project(20090461093, 201003571); Supported by the Jiangsu Planned Projects for Postdoctoral Research Funds(0902064C); Supported by the Taizhou Teachers' College Research Funds
In this paper, it is discussed the AP-property of function spaces. We prove that for any compact network α for a space X which is closed under finite unions, (1) if C α (X) is an AP-space and X is paracompact, then ...