2001•Journal of PLA University of Science and TechnologyRequires access
Toward Minimal CH-Spaces
Yang Jian-xin, Pla Uni
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Abstract
In this paper, some characteristics of CH-spaces and CH-closed spaces are developed, and the properties of these spaces are investigated. The main results of this study are as following:(1) Let X be a topological space, the following are equivalence:①X is CH-topological space. ②(X,T ω) is T 1 space.③(X,T ω) is T 2 space.(2) A topological space is an minimal CH space if and only if each open CH-filterbase with only one adherent point converges to this point.(3) Minimal CH spaces are completely Hausdorff-closed.(4) A topological spaces X is minimal CH if and only if for each x∈X and each open CH-filterbase μ,if {x}=∩U∈μU=∩U∈μclU, then μ is a neighborhood base of x.(5) Topological space X is minimal CH space if and only if X is minimal Tychonoff space.