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54Dxx

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Fairly general properties

  • 54D05 Connected and locally connected spaces (general aspects)
  • 54D10 Lower separation axioms ($T_0$--$T_3$, etc.)
  • 54D15 Higher separation axioms (completely regular, normal, perfectly or collectionwise normal, etc.)
  • 54D20 Noncompact covering properties (paracompact, Lindelöf, etc.)
  • 54D25 ``$P$-minimal'' and ``$P$-closed'' spaces
  • 54D30 Compactness
  • 54D35 Extensions of spaces (compactifications, supercompactifications, completions, etc.)
  • 54D40 Remainders
  • 54D45 Local compactness, $\sigma$-compactness
  • 54D50 $k$-spaces
  • 54D55 Sequential spaces
  • 54D60 Realcompactness and realcompactification
  • 54D65 Separability
  • 54D70 Base properties
  • 54D80 Special constructions of spaces (spaces of ultrafilters, etc.)
  • 54D99 None of the above, but in this section