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Results tagged with gn.general-topology
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user 54609
Continuum theory, point-set topology, spaces with algebraic structure, foundations, dimension theory, local and global properties.
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Are uniformly continuous functions dense in all continuous functions?
Yes, and even more is true. The argument is as follows: let $f\colon X \to \mathbb R$ be a continuous function and let $K\subset X$ be a compact set. Then $f|_K$ is uniformly continuous; let $\omega$ …
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