科研之友
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摘要
Let X be a topological space and let C(X) be the ring of continuous real-valued functions on X. We study T' (X) as an over-ring of C(X), where T' (X) denotes the set of all real-valued functions on X such that for each f is an element of T' (X) there exists a dense open subspace D of X such that f vertical bar D is an element of C(D). In this paper new algebraic characterizations of discrete spaces, open-hereditarily irresolvable spaces, and Blumberg spaces are obtained.
- 出版日期2010
