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Continuity and closure

  • Thread starter Majrou
  • Start date
  • #1
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Hi,
can anyone help me ?

Given Topological Spaces (metric spaces) (X, d1) and (Y,d2), show that a function f: X -> Y is continuous if and only if f(cl of A) is a subset of cl of f(A) for all A subset X1.

How can i proof this ?

Thank you!!!
 

Answers and Replies

  • #2
22,097
3,279
What is your definition of continuous?? What properties did you see already about continuity??

What did you try already to solve this problem??
 

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