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a) Prove the following theorem: Let f:(x,d)-(Y,p) be bijective and continuous. Then f is a topological mapping iff: VUCX: U o

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S et F: xd) -»y,3) be bijechve f (ontinaur a Suppost fis topological mappny a (ont map then f et m X pem (e)tu as LOnth pen S(b) (XIda) 2de, :(,de) o pological mapping A ane bajechwe tont (1d) he Contmap claim fsoh is toplogical mappinga ane also (X1

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a) Prove the following theorem: Let f:(x,d)-(Y,p) be bijective and continuous. Then f is a topological...
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