Mathematics Subject Classification 1991

54-XX General topology, {For the topology of manifolds of all dimensions, See 57Nxx} ( 0 Dok.)

• 54-00 General reference works (handbooks, dictionaries, bibliographies, etc.) ( 0 Dok.)
• 54-01 Instructional exposition (textbooks, tutorial papers, etc.) ( 0 Dok.)
• 54-02 Research exposition (monographs, survey articles) ( 0 Dok.)
• 54-03 Historical (must be assigned at least one classification number from Section 01) ( 0 Dok.)
• 54-04 Explicit machine computation and programs (not the theory of computation or programming) ( 0 Dok.)
• 54-06 Proceedings, conferences, collections, etc. ( 0 Dok.)
• 54Axx Generalities ( 0 Dok. )
• 54A05 Topological spaces and generalizations (closure spaces, etc.) ( 0 Dok.)
• 54A10 Several topologies on one set (change of topology, comparison of topologies, lattices of topologies) ( 0 Dok.)
• 54A15 Syntopogeneous structures ( 0 Dok.)
• 54A20 Convergence in general topology (sequences, filters, limits, convergence spaces, etc.) ( 0 Dok.)
• 54A25 Cardinality properties (cardinal functions and inequalities, discrete subsets), See also {03Exx, 04A30}, {For ultrafilters, See 54D80} ( 0 Dok.)
• 54A35 Consistency and independence results, See also {03E35} ( 0 Dok.)
• 54A40 Fuzzy topology, See also {04A72} ( 0 Dok.)
• 54A99 None of the above but in this section ( 0 Dok.)
• 54Bxx Basic constructions ( 0 Dok. )
• 54B05 Subspaces ( 0 Dok.)
• 54B10 Product spaces ( 0 Dok.)
• 54B15 Quotient spaces, decompositions ( 0 Dok.)
• 54B17 Adjunction spaces and similar constructions ( 0 Dok.)
• 54B20 Hyperspaces ( 0 Dok.)
• 54B30 Categorical methods, See also {18B30} ( 0 Dok.)
• 54B35 Spectra ( 0 Dok.)
• 54B40 Presheaves and sheaves, See also {18F20} ( 0 Dok.)
• 54B99 None of the above but in this section ( 0 Dok.)
• 54Cxx Maps and general types of spaces defined by maps ( 0 Dok. )
• 54C05 Continuous maps ( 0 Dok.)
• 54C08 Weak and generalized continuity ( 0 Dok.)
• 54C10 Special maps on topological spaces (open, closed, perfect, etc.) ( 0 Dok.)
• 54C15 Retraction ( 0 Dok.)
• 54C20 Extension of maps ( 0 Dok.)
• 54C25 Embedding ( 0 Dok.)
• 54C30 Real-valued functions, See also {26-XX} ( 0 Dok.)
• 54C35 Function spaces, See also {46Exx, 58D15} ( 0 Dok.)
• 54C40 Algebraic properties of function spaces, See also {46J10} ( 0 Dok.)
• 54C45 $C$- and $C$*-embedding ( 0 Dok.)
• 54C50 Special sets defined by functions, See also {26A21} ( 0 Dok.)
• 54C55 Absolute neighborhood extensor, absolute extensor, absolute neighborhood retract (ANR), absolute retract spaces (general properties), See also {55M15} ( 0 Dok.)
• 54C56 Shape theory, See also {55P55, 57N25} ( 0 Dok.)
• 54C60 Set-valued maps, See also {26E25, 28B20, 47H04, 58C06} ( 0 Dok.)
• 54C65 Selections, See also {28B20} ( 0 Dok.)
• 54C70 Entropy ( 0 Dok.)
• 54C99 None of the above but in this section ( 0 Dok.)
• 54Dxx Fairly general properties ( 0 Dok. )
• 54D05 Connected and locally connected spaces (general aspects) ( 0 Dok.)
• 54D10 Lower separation axioms, ($T_0$--$T_3$, etc.) ( 0 Dok.)
• 54D15 Higher separation axioms (completely regular, normal, perfectly or collectionwise normal, etc.) ( 0 Dok.)
• 54D20 Noncompact covering properties (paracompact, Lindelof, etc.) ( 0 Dok.)
• 54D25 ``$P$-minimal'' and ``$P$-closed'' spaces ( 0 Dok.)
• 54D30 Compactness ( 0 Dok.)
• 54D35 Extensions of spaces (compactifications, supercompactifications, completions, etc.) ( 0 Dok.)
• 54D40 Remainders ( 0 Dok.)
• 54D45 Local compactness, $sigma$-compactness ( 0 Dok.)
• 54D50 $k$-spaces ( 0 Dok.)
• 54D55 Sequential spaces ( 0 Dok.)
• 54D60 Realcompactness and realcompactification ( 0 Dok.)
• 54D65 Separability ( 0 Dok.)
• 54D70 Base properties ( 0 Dok.)
• 54D80 Special constructions of spaces (spaces of ultrafilters, etc.) ( 0 Dok.)
• 54D99 None of the above but in this section ( 0 Dok.)
• 54Exx Spaces with richer structures ( 0 Dok. )
• 54E05 Proximity structures and generalizations ( 0 Dok.)
• 54E15 Uniform structures and generalizations ( 0 Dok.)
• 54E17 Nearness spaces ( 0 Dok.)
• 54E18 $p$-spaces, $M$-spaces, $sigma$-spaces, etc. ( 0 Dok.)
• 54E20 Stratifiable spaces, cosmic spaces, etc. ( 0 Dok.)
• 54E25 Semimetric spaces ( 0 Dok.)
• 54E30 Moore spaces ( 0 Dok.)
• 54E35 Metric spaces, metrizability ( 0 Dok.)
• 54E40 Special maps on metric spaces ( 0 Dok.)
• 54E45 Compact (locally compact) metric spaces ( 0 Dok.)
• 54E50 Complete metric spaces ( 0 Dok.)
• 54E52 Baire category, Baire spaces ( 0 Dok.)
• 54E55 Bitopologies ( 0 Dok.)
• 54E70 Probabilistic metric spaces ( 0 Dok.)
• 54E99 None of the above but in this section ( 0 Dok.)
• 54Fxx Special properties ( 0 Dok. )
• 54F05 Ordered topological spaces, partially ordered spaces, See also {06B30, 06F30} ( 0 Dok.)
• 54F15 Continua and generalizations ( 0 Dok.)
• 54F35 Higher-dimensional local connectedness, See also {55Mxx, 55Nxx} ( 0 Dok.)
• 54F45 Dimension theory, See also {55M10} ( 0 Dok.)
• 54F50 Spaces of dimension $leq 1$; curves, dendrites, See Also { 26A03} ( 0 Dok.)
• 54F55 Unicoherence, multicoherence ( 0 Dok.)
• 54F65 Topological characterizations of particular spaces ( 0 Dok.)
• 54F99 None of the above but in this section ( 0 Dok.)
• 54Gxx Peculiar spaces ( 0 Dok. )
• 54G05 Extremally disconnected spaces, $F$-spaces, etc. ( 0 Dok.)
• 54G10 $P$-spaces ( 0 Dok.)
• 54G12 Scattered spaces ( 0 Dok.)
• 54G15 Pathological spaces ( 0 Dok.)
• 54G20 Counterexamples ( 0 Dok.)
• 54G99 None of the above but in this section ( 0 Dok.)
• 54Hxx Connections with other structures, applications ( 0 Dok. )
• 54H05 Descriptive set theory (topological aspects of Borel, analytic, projective, etc. sets), See also {03E15, 04A15, 26A21, 28A05} ( 0 Dok.)
• 54H10 Topological representations of algebraic systems, See Also { 22-XX} ( 0 Dok.)
• 54H11 Topological groups, See also {22A05} ( 0 Dok.)
• 54H12 Topological lattices, etc., See also {06B30, 06F30} ( 0 Dok.)
• 54H13 Topological fields, rings, etc., See also {12Jxx}, {For algebraic aspects, See 13Jxx, 16W80} ( 0 Dok.)
• 54H15 Transformation groups and semigroups, See also {20M20, 22-XX, 57Sxx} ( 0 Dok.)
• 54H20 Topological dynamics, See also {28Dxx, 34C35, 58Fxx} ( 0 Dok.)
• 54H25 Fixed-point and coincidence theorems, See also {47H10, 55M20} ( 0 Dok.)
• 54H99 None of the above but in this section ( 0 Dok.)
• 54J05 Nonstandard topology, See also {03H05} ( 0 Dok.)