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Just out of curiosity, where would following "seperation axiom" fit in?

So far I'm only acquainted with the T1, T2, T3 and T4 axioms (and the notion of completely regular in relation to the Urysohn theorem). Assume a topological space X is T1. We call Xokayif for any two closed subsets A and B, there exists an open set U such that [itex]B \subset U[/itex] and [itex]A \cap U = \emptyset[/itex].

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# [topology] new kind of separation axiom? where does it fit in?

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