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Results tagged with gn.general-topology
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user 41807
Continuum theory, point-set topology, spaces with algebraic structure, foundations, dimension theory, local and global properties.
5
votes
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answers
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views
Existence of non-homeomorphic pair of bijectively related closed subsets in $\mathbb{R}$
I want to find two closed, non-homeomorphic subsets $A$ and $B$ of $\mathbb{R}$ (with subset topology), with the property that there exist two continuous bijections
$$f:A\to B,~~~~g:B\to A.$$
Clearly …
- 6,734