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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