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- W1997682787 abstract "Let ${P^ ast }(X)$ be the algebra of bounded, real-valued proximity functions on a proximity space $(X,delta )$, where $X$ is a dense subspace of a topological space $T$. In this paper we obtain several conditions which are equivalent to the following property: every member of ${P^ ast }(X)$ has a continuous extension to $T$. Examples concerning these results are included, one of which shows that this extension property is distinct from ${C^ ast }$-embedding." @default.
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- W1997682787 date "1970-02-01" @default.
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- W1997682787 title "Extensions of proximity functions" @default.
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- W1997682787 doi "https://doi.org/10.1090/s0002-9939-1970-0264631-5" @default.
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