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Results tagged with gn.general-topology
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user 6503
Continuum theory, point-set topology, spaces with algebraic structure, foundations, dimension theory, local and global properties.
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When are fixed point sets in $T_1$ spaces always closed?
Let $X$ be a topological space, and say that $X$ satisfies the closed fixed point set property if every continuous self-map $f:X\to X$ has fixed point set $\operatorname{Fix}(f)=\{x\in X\mid f(x)=x\}$ …
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