h - embeddings Warren
نویسنده
چکیده
Given a topological space X, a subspace Y of X is said to be Cembedded in X if every continuous real valued function on Y has a continuous extension to all of X. The notion of C-embedding is well understood and documented, as well as that of the more general notions of C∗-embedding and z-embedding. In this article we define a generalization of C-embedding and investigate some of its interesting properties. In Sections we show prove some fundamental properties of h-embeddings, e.g. every closed subset of Tychonoff space is h-embedded. In Section we characterizevthose spaces for which every open subset is h-embedded. AMS Subj. Class.: Primary Secondary
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