Zentralblatt MATH

General topology 7354-04 Explicit machine computation and programs(not the theory of computation orprogramming)54-06 Proceedings, conferences, collections,etc.54Axx Generalities54A05 Topological spaces and generalizations(closure spaces, etc.)54A10 Several topologies on one set (change oftopology, comparison of topologies, latticesof topologies)54A15 Syntopogeneous structures54A20 Convergence in general topology(sequences, filters, limits, convergencespaces, etc.)54A25 Cardinality properties (cardinal functionsand inequalities, discrete subsets)[See also 03Exx] (For ultrafilters, see54D80)54A35 Consistency and independence results[See also 03E35]54A40 Fuzzy topology [See also 03E72]54A99 None of the above, but in this section54Bxx Basic constructions54B05 Subspaces54B10 Product spaces54B15 Quotient spaces, decompositions54B17 Adjunction spaces and similar constructions54B20 Hyperspaces54B30 Categorical methods [See also 18B30]54B35 Spectra54B40 Presheaves and sheaves [See also 18F20]54B99 None of the above, but in this section54Cxx Maps and general types of spaces definedby maps54C05 Continuous maps54C08 Weak and generalized continuity54C10 Special maps on topological spaces(open, closed, perfect, etc.)54C15 Retraction54C20 Extension of maps54C25 Embedding54C30 Real-valued functions [See also 26-XX]54C35 Function spaces [See also 46Exx, 58D15]54C40 Algebraic properties of function spaces[See also 46J10]54C45 C- and C ∗ -embedding54C50 Special sets defined by functions[See also 26A21]54C55 Absolute neighborhood extensor, absoluteextensor, absolute neighborhoodretract (ANR), absolute retract spaces(general properties) [See also 55M15]54C56 Shape theory [See also 55P55, 57N25]54C60 Set-valued maps [See also 26E25, 28B20,47H04, 58C06]54C65 Selections [See also 28B20]54C70 Entropy54C99 None of the above, but in this section54Dxx Fairly general properties54D05 Connected and locally connected spaces(general aspects)54D10 Lower separation axioms (T 0 –T 3 , etc.)54D15 Higher separation axioms (completelyregular, normal, perfectly or collectionwisenormal, etc.)54D20 Noncompact covering properties(paracompact, Lindelöf, etc.)54D25 “P-minimal” and “P-closed” spaces54D30 Compactness54D35 Extensions of spaces (compactifications,supercompactifications, completions,etc.)54D40 Remainders54D45 Local compactness, σ-compactness54D50 k-spaces54D55 Sequential spaces54D60 Realcompactness and realcompactification54D65 Separability54D70 Base properties54D80 Special constructions of spaces(spaces of ultrafilters, etc.)54D99 None of the above, but in this section54Exx Spaces with richer structures54E05 Proximity structures and generalizations54E15 Uniform structures and generalizations54E17 Nearness spaces54E18 p-spaces, M-spaces, σ-spaces, etc.