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  "body": "\n## Summary\n\nThe separation axioms are conditions on a topological space that say how well open sets can separate points and closed sets.\nThe main ones, from weak to strong, are [[T0|0R3B7DX55J]], [[T1|05GQJXBP3F]], [[Hausdorff|0MXB4CKHFW]], [[regular|0JF9KW2TXB]] and [[normal|0AJ646N339]].\n\n## Remarks\n\nEach of these axioms, together with T1, implies the axioms before it in this list.\nEach metric space satisfies all of them, by [[metric spaces are Hausdorff|0P9DCDES73]] and [[metrizable spaces are normal|0AD0BZ49DW]].\nAuthors do not agree on all names. For example, some authors include T1 in the definition of a regular or normal space, and some do not.\n\n## Explanations\n\n### L1 human\n\nThe separation axioms measure how many open sets a space has.\nWith more open sets, you can put distinct points, or points and closed sets, into disjoint open sets.\n",
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