On uniformities and uniformly continuous functions on factor-spaces of topological groups

Details On uniformities and uniformly continuous functions on factor-spaces of topological groups On uniformities and uniformly continuous functions on factor-spaces of topological groups

2004-10-29

arxiv.org/abs/math/0410624v1

Mathematics

General Topology

Latex, 6 pages

Scientific paper

Is it true that the left and the right uniformities on a topological group
coincide as soon as every left uniformly continuous real valued function is
right uniformly continuous? This question is known as Itzkowitz's problem, and
it is still open. We show that the generalization of the problem to homogeneous
factor-spaces of topological groups has a negative answer.

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