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Results tagged with gn.general-topology
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user 168301
Continuum theory, point-set topology, spaces with algebraic structure, foundations, dimension theory, local and global properties.
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Fixed points of one-point-compactification
Let $M$ be a locally compact (Hausdorff) space, and $g:M\to M$ an isomorphism (think of an action of a finite cyclic group).
By some generalities one can show that the "obvious" map $(M^g)^+\to(M^+)^g …
- 151
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Accepted
Fixed points of one-point-compactification
$M^+$ is still Hausdorff, so also $(M^+)^g$ is. Now we observe that the "obvious" map is a continuous bijection from a compact to a Hausdorff space, thus by standard textbook contents, an isomorphism. …
- 151