Mathematical Sciences Classification System

54Dxx - Fairly general properties

  • 3
    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.)
  • 2
    54D20
    Noncompact covering properties (paracompact, Lindelöf, etc.)
  • 54D25
    “$P$-minimal” and “$P$-closed” spaces
  • 3
    54D30
    Compactness
  • 6
    54D35
    Extensions of spaces (compactifications, supercompactifications, completions, etc.)
  • 1
    54D40
    Remainders
  • 54D45
    Local compactness, $\sigma$-compactness
  • 1
    54D50
    $k$-spaces
  • 54D55
    Sequential spaces
  • 54D60
    Realcompactness and realcompactification
  • 2
    54D65
    Separability
  • 1
    54D70
    Base properties
  • 1
    54D80
    Special constructions of spaces (spaces of ultrafilters, etc.)
  • 54D99
    None of the above, but in this section

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