# A functional problem

1. May 20, 2013

### amirmath

Suppose that $$X$$ is a f-space and $$Y$$ is a subspace of $$X$$ and $$Y^{c}$$ is a first category in $$X$$. Can we show $$Y=X$$?

2. May 21, 2013

### Fredrik

Staff Emeritus
More people will be able to answer if you include the relevant definitions. Yes, we can look them up, but we shouldn't have to. The math in your post would have looked better if you had typed ## instead of . You can find the instructions on how to use LaTeX here by scrolling to the top, and clicking site info, frequently asked questions.