54Dxx 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, Lindelof, 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
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