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  3. 6.3.8. problem. let f : a → b be a continuo

6.3.8. Problem. Let f : A → B be a continuous bijection between subsets of R. (a)...

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Advance Math

6.3.8. Problem. Let f : A → B be a continuous bijectionbetween subsets of R.
(a) Show by example that f need not be a homeomorphism.
(b) Show that if A is compact, then f must be ahomeomorphism.

6.3.9. Problem. Find in Q a set which is both relativelyclosed and bounded but which is not compact.

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