My question is about to find to topological spaces $(X,\tau_X),(Y,\tau_Y)$ that are non-homeomorphic but there exist two bijective functions $f:X\to Y, f \in C(X \to Y)$ and $g:Y \to X, g \in C(Y \to X)$.
2026-04-06 17:31:40.1775496700
Example of two non-homeomorphic spaces with two continual mappings between them
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