Topology - Diagonal map D(x) = (x, x) is continuous. X is Hausdorff iff D(X) is closed in X x X
Автор: MathWU悟数
Загружено: 2025-04-15
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Описание:
Basic Topology - M.A. Armstrong
Chapter 3: Compactness and Connectedness
3.4. Product spaces
Prob 3.25: Show that the diagonal map D: X to X x X defined by D(x) = (x, x) is continuous, and check that X is Hausdorff iff D(X) is closed in X x X.
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