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arXiv · 1901.05396

Preservation of uniform continuity under pointwise product

Ahmed Bouziad·Elena Sukhacheva
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Abstract

Let $X$ be a uniform space and $U(X)$ the linear space of real-valued uniformly continuous functions on $X$. Our main objective is to give a number of properties characterizing the fact that $U(X)$ is stable under pointwise product in case $X$ is a metric space. Some of these characterizations hold in much more general circumstances.

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Ahmed Bouziad, Elena Sukhacheva. 2019-01-16. Preservation of uniform continuity under pointwise product. https://arxiv.org/abs/1901.05396

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