Talk:Fixed-point space

I think the definition would be like this: --

A topological space $$(X,T)$$ is called a fixed point space iff every continuous function $$f:X\to X$$ has a fixed point in $$X$$ that is, there is $$x\in X$$ with $$f(x) = x$$.

-- If homeomorphism is taken instead of continuous functions, I believe there may be some problems.

Saurav Bhaumik