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Continuum theory, point-set topology, spaces with algebraic structure, foundations, dimension theory, local and global properties.

2 votes
1 answer
219 views

homeomorphisms on k-spaces

Let X be a Hausdorff k-space (Hausdorff compactly generated space) and h a bijection on X such that for any subset E of X we have E compact <=> h(E) compact. Question: Does it follow that h is a …