# Homework Help: If the inverse of a function maps base sets to base sets, then the fn is continuous?

1. Dec 5, 2012

### stgermaine

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
I have no idea.

3. The attempt at a solution
I seriously have no idea. This is for my analysis course, and I'm not sure why the prof is going over topology. I have some PDF's so I have some idea about open sets and continuous functions but not enough to solve this proof.

2. Dec 5, 2012

### micromass

Re: If the inverse of a function maps base sets to base sets, then the fn is continuo

Maybe start by giving the definition of a continuous function? What is it that you need to prove?

Also start by defining basis.