- #1

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## Main Question or Discussion Point

Is this claim true? Assume that [itex]X,Y[/itex] are topological spaces, and that all closed subsets of [itex]X[/itex] are compact. Then all continuous bijections [itex]f:X\to Y[/itex] are homeomorphisms.

It looks true on my notebook, but I don't have a reference, and I don't trust my skills. Just checking.

It looks true on my notebook, but I don't have a reference, and I don't trust my skills. Just checking.