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

Prove that if the inverse of a function between topological spaces maps base sets to base sets, then the function is continuous.

2. Relevant equations

3. The attempt at a solution

I really don't know how to do this. Wikipedia entry for 'base sets' redirects to Pokemon cards.

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# Homework Help: INverse of a function between topological spaces and continuity

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