(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Suppose that [tex]f : (X,d_X) \to (Y,d_Y)[/tex]. If [tex]f[/tex] is continuous,

must it map open sets to open sets? If [tex]f[/tex] does map open sets to

open sets must [tex]f[/tex] be continuous?

2. Relevant equations

3. The attempt at a solution

The answer to the first question is yes. The answer to the second question I guess is "no". Is this correct? How can I prove it?

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# Homework Help: Funtion continuity and open sets

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