If $ (X,\tau)$ is a topological space, we denote by $ \text{Cont}(X,X)$ the collection of all continous functions $ f:X\to X$ . We say that $ (X,\tau)$ has the fixed point property if for any $ f\in\text{Cont}(X,X)$ there is $ x_0\in X$ such that $ f(x_0) = x_0$ . If $ (X,\tau)$ has the fixedRead more