History of the separation axioms
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The history of the separation axioms in general topology has been convoluted, with many meanings competing for the same terms and many terms competing for the same concept.
Quick Facts Separation axioms in topological spaces, Kolmogorov classification ...
Separation axioms in topological spaces | |
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Kolmogorov classification | |
T0 | (Kolmogorov) |
T1 | (Fréchet) |
T2 | (Hausdorff) |
T2½ | (Urysohn) |
completely T2 | (completely Hausdorff) |
T3 | (regular Hausdorff) |
T3½ | (Tychonoff) |
T4 | (normal Hausdorff) |
T5 | (completely normal Hausdorff) |
T6 | (perfectly normal Hausdorff) |
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This article includes a list of general references, but it lacks sufficient corresponding inline citations. (October 2014) |