Let \(X\) and \(Y\) be topological spaces. Let \(C\) be a path-connected closed set of \(X\times Y\). Suppose that \(C\) is locally direct product, that is, for any \((a,b)\in X\times Y\), there exist an open set \(U\) of \(X\), an open set \(V\) of \(Y\), a subset \(I\) of \(U\)... Show more

August 29, 2019

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A remark on locally direct product subsets in a topological Cartesian space

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