Let \(X\) and \(Y\) be topological spaces. A map \(f\colon X\to Y\) is continuous if \(\inverseof{f}(U)\) is open in \(X\) for every open set \(U \subseteq Y\).
Continuous map
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Let \(X\) and \(Y\) be topological spaces. A map \(f\colon X\to Y\) is continuous if \(\inverseof{f}(U)\) is open in \(X\) for every open set \(U \subseteq Y\).