EDB — 0J8

[0J8] Prerequisites:[0J5]↺↻.Let \((X,𝜏)\) and \((Y,𝜎)\) be topological spaces, with \(X\) compact and \(Y\) \(T_ 2\). Let \(f:X→ Y \) be continuous and injective; show that \(f\) is a homeomorphism between \(X\) and its image \(f(X)\).