Question: Exercise 1. Show that if X is compact, Y is Hausdorf and : X Y is a one-to-one continuous map, then f is an

Exercise 1. Show that if X is compact, Y is Hausdorf and

Exercise 1. Show that if X is compact, Y is Hausdorf and : X Y is a one-to-one continuous map, then f is an embedding. Demonstrate, by means of a counterexample, that the previous sentence may not be true if X is not compact.

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