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54D10 - General topology :: Fairly general properties :: Lower separation axioms

  1. a compact set in a Hausdorff space is closed owned by mathcam
  2. a space \mathnormal{X} is Hausdorff if and only if \Delta(X) is closed owned by mathcam
  3. a space is T_1 if and only if distinct points are separated owned by matte
  4. a space is T1 if and only if every singleton is closed owned by waj
  5. a space is T1 if and only if every subset A is the intersection of all open sets containing A owned by waj
  6. characterization of T2 spaces owned by matte
  7. a theorem on closed Hausdorff neighbourhoods owned by yark
  8. completely Hausdorff owned by PrimeFan
  9. Hausdorff property is hereditary owned by georgiosl
  10. Hausdorff space owned by yark
  11. Hausdorff space not completely Hausdorff owned by drini
  12. metric spaces are Hausdorff owned by waj
  13. point and a compact set in a Hausdorff space have disjoint open neighborhoods. owned by drini
  14. product topology preserves the Hausdorff property owned by archibal
  15. proof that a compact set in a Hausdorff space is closed owned by yark
  16. regular space owned by drini
  17. separation axioms owned by Koro
  18. T0 space owned by yark
  19. T1 space owned by drini
  20. T3 space owned by yark
  21. The property that compact sets in a space are closed lies strictly between T1 and T2 owned by dfeuer
  22. topological condition for a set to be uncountable owned by mps

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