This is not a homework but it is a question in my mind.please guide me.(adsbygoogle = window.adsbygoogle || []).push({});

Let X and Y be topological spaces,let f : X -----> Y is a function.

when the following statements are equivalent????:

1) f is continuous

2) f(A') is subset of f(A)' ,for every A subset of X.

Symbols: A' i.e limit points set of A ,and f(A)' i.e limit points set of f(A).

pointing out: look to theorem 18-1 (page 104) from Munkres's book (TOPOLOGY 2edition 2000) and exercise 2 (page 111) from Munkres's book.

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# Continuous functions on Munkres's book

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