Uniformities and uniformly continuous functions on locally connected groups
Megrelishvili (Levy), Michael; Nickolas, Peter; Pestov, Vladimir; Megrelishvili (Levy) Michael; Bar-Ilan University; Nickolas Peter; University of Wollongong; Pestov Vladimir; Victoria University of Wellington
Журнал:
Bulletin of the Australian Mathematical Society
Дата:
1997
Аннотация:
We show that the left and the right uniformities on a locally connected topological group G coincide if and only if every left uniformly continuous real-valued function on G is right uniformly continuous.
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