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A fixed-point theorem is a result saying that a function $F$ will have at least one fixed point (a point $x$ for which $F(x) = x$), under some conditions on $F$ that can be stated in general terms.

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fixed point property for maps of compacts

If $X$ is a connected polyhedron, a point $x\in X$ is said to be a global separating point if $X-\{x\}$ is not connected. Theorem ([1], Theorem 7.1) In the category of compact connected polyhedra wit …
Iván Sadofschi Costa's user avatar