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Results tagged with gn.general-topology
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user 52824
Continuum theory, point-set topology, spaces with algebraic structure, foundations, dimension theory, local and global properties.
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Is an extension of compact Hausdorff topological groups compact?
You have to assume that $a$ is a homeomorphism onto its image. Indeed, if you don't then you get counterexamples with $C=1$: let $A$ be a finite group with the discrete topology and let $B$ be the sa …