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Results tagged with gn.general-topology
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user 174738
Continuum theory, point-set topology, spaces with algebraic structure, foundations, dimension theory, local and global properties.
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Is the pointwise supremum of a continuous function continuous?
Suppose $f(x , y)$ is continuous in both variables. For any $\epsilon > 0$ and some $y_0$, let $h_{\epsilon}(x) = \max_{y^{'}: \| y^{'} - y_0 \| \leq \epsilon} f(x , y^{'})$. It seems to me that $h_{\ …
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