- Metrizable Spaces and Their Applications
نویسنده
چکیده
In this paper we introduce and study so-called k∗-metrizable spaces forming a new class of generalized metric spaces, and display various applications of such spaces in topological algebra, functional analysis, and measure theory. By definition, a Hausdorff topological space X is k∗-metrizable if X is the image of a metrizable space M under a continuous map f : M → X having a section s : X → M that preserves precompact sets in the sense that the image s(K) of any compact set K ⊂ X has compact closure in X .
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