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  3. 1.- let(x1, Ï„1) and (x2, Ï„2) are two compa

1.- let(X1, Ï„1) and (X2, Ï„2) are two compact topological spaces. Prove that their topological...

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Advance Math

1.- let(X1, Ï„1) and (X2, Ï„2) are two compact topological spaces. Prove that their topological product is also compact.
2.- Let f: X - → Y be a continuous transformation, where X is compact and Y is Hausdorff. Show that if f is bijective then f is a homeomorphism.

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