Mathematical Sciences Classification System
54Dxx - Fairly general properties
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54D05Connected and locally connected spaces (general aspects)
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54D10Lower separation axioms ($T_0$–$T_3$, etc.)
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54D15Higher separation axioms (completely regular, normal, perfectly or collectionwise normal, etc.)
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54D20Noncompact covering properties (paracompact, Lindelöf, etc.)
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54D25“$P$-minimal” and “$P$-closed” spaces
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54D30Compactness
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54D35Extensions of spaces (compactifications, supercompactifications, completions, etc.)
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54D40Remainders
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54D45Local compactness, $\sigma$-compactness
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54D50$k$-spaces
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54D55Sequential spaces
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54D60Realcompactness and realcompactification
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54D65Separability
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54D70Base properties
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54D80Special constructions of spaces (spaces of ultrafilters, etc.)
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54D99None of the above, but in this section