Talk:Fixed-point space

I think the definition would be like this:

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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 $f(x)=x$.

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

Saurav Bhaumik