I remember $\dagger$ the notion of cardinality (a bijection), and the definitions of homeomorphism and Hausdorff space (separation axiom $T_2$). I would like to know if there exists examples of Toronto spaces, I say explicitly an example of a Toronto space that you can show us. Or it is theopen question?
Question. Can you provide us a space $X$ endowed with a topology $T_X$ being $(X, T_X)$ an example of Toronto space?
Then with the definition of to be a Toronto space provide us by Wikipedia please show us your example. If there are no interesting examples tell us why, and if it is possible the reasoning by it is difficult find/build examples of Toronto spaces. Many thanks.
$\dagger$ In the past I've studied topology, and I am interested to try refresh some concepts in topology with questions. Feel free to edit this (my first post about topology) to improve notation, grammar...