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- W3152602205 abstract "In this short paper, we will show that the space of real valued uniformly continuous functions defined on a metric space $(X,d)$ is a ring if and only if every subset $Asubset X$ has one of the following properties: $A$ is Bourbaki-bounded, i.e., every uniformly continuous function on $X$ is bounded on $A$. $A$ contains an infinite uniformly isolated subset, i.e., there exist $delta>0$ and an infinite subset $Fsubset A$ such that $d(a,x)geq delta$ for every $ain F, xin X$." @default.
- W3152602205 created "2021-04-26" @default.
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- W3152602205 date "2017-03-21" @default.
- W3152602205 modified "2023-10-18" @default.
- W3152602205 title "When is U(X) a ring" @default.
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