Mathematics, 26.02.2020 18:26 alijancaz8812

Let X, Y be topological spaces, f, g : X → Y functions from X to Y , U ⊂ X an open set, and x ∈ U. Assume that f|U = g|U . Show that f is continuous at x if and only if g is continuous at x.

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Let X, Y be topological spaces, f, g : X → Y functions from X to Y , U ⊂ X an open set, and x ∈ U. A...