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Navegando por la clasificación temática MSC 2000: 54 · General topology
 
54 General topology
  54-00 General reference works (handbooks, dictionaries, bibliographies, etc.)
  54-01 Instructional exposition (textbooks, tutorial papers, etc.)
  54-02 Research exposition (monographs, survey articles)
  54-03 Historical
  54-04 Explicit machine computation and programs (not the theory of computation or programming)
  54-06 Proceedings, conferences, collections, etc.
  54-99 General topology (not classified at a more specific level)
 
  54A Generalities
    54A05 Topological spaces and generalizations (closure spaces, etc.)
    54A10 Several topologies on one set (change of topology, comparison of topologies, lattices of topologies)
    54A15 Syntopogeneous structures
    54A20 Convergence in general topology (sequences, filters, limits, convergence spaces, etc.)
    54A25 Cardinality properties (cardinal functions and inequalities, discrete subsets) [See also 03Exx] {For ultrafilters, see 54D80}
    54A35 Consistency and independence results [See also 03E35]
    54A40 Fuzzy topology [See also 03E72]
    54A99 None of the above, but in this section
 
  54B Basic constructions
    54B05 Subspaces
    54B10 Product spaces
    54B15 Quotient spaces, decompositions
    54B17 Adjunction spaces and similar constructions
    54B20 Hyperspaces
    54B30 Categorical methods [See also 18B30]
    54B35 Spectra
    54B40 Presheaves and sheaves [See also 18F20]
    54B99 None of the above, but in this section
 
  54C Maps and general types of spaces defined by maps
    54C05 Continuous maps
    54C08 Weak and generalized continuity
    54C10 Special maps on topological spaces (open, closed, perfect, etc.)
    54C15 Retraction
    54C20 Extension of maps
    54C25 Embedding
    54C30 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 $C^*$-embedding
    54C50 Special sets defined by functions [See also 26A21]
    54C55 Absolute neighborhood extensor, absolute extensor, absolute neighborhood retract (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 Entropy
    54C99 None of the above, but in this section
 
  54D 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, Lindelöf, 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
 
  54E Spaces with richer structures
    54E05 Proximity structures and generalizations
    54E15 Uniform structures and generalizations
    54E17 Nearness spaces
    54E18 $p$-spaces, $M$-spaces, $\sigma$-spaces, etc.
    54E20 Stratifiable spaces, cosmic spaces, etc.
    54E25 Semimetric spaces
    54E30 Moore spaces
    54E35 Metric spaces, metrizability
    54E40 Special maps on metric spaces
    54E45 Compact (locally compact) metric spaces
    54E50 Complete metric spaces
    54E52 Baire category, Baire spaces
    54E55 Bitopologies
    54E70 Probabilistic metric spaces
    54E99 None of the above, but in this section
 
  54F Special properties
    54F05 Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces [See also 06B30, 06F30]
    54F15 Continua and generalizations
    54F35 Higher-dimensional local connectedness [See also 55Mxx, 55Nxx]
    54F45 Dimension theory [See also 55M10]
    54F50 Spaces of dimension $\leq 1$; curves, dendrites [See also 26A03]
    54F55 Unicoherence, multicoherence
    54F65 Topological characterizations of particular spaces
    54F99 None of the above, but in this section
 
  54G Peculiar spaces
    54G05 Extremally disconnected spaces, $F$-spaces, etc.
    54G10 $P$-spaces
    54G12 Scattered spaces
    54G15 Pathological spaces
    54G20 Counterexamples
    54G99 None of the above, but in this section
 
  54H Connections with other structures, applications
    54H05 Descriptive set theory (topological aspects of Borel, analytic, projective, etc. sets) [See also 03E15, 26A21, 28A05]
    54H10 Topological representations of algebraic systems [See also 22-XX]
    54H11 Topological groups [See also 22A05]
    54H12 Topological lattices, etc. [See also 06B30, 06F30]
    54H13 Topological fields, rings, etc. [See also 12Jxx] {For algebraic aspects, see 13Jxx, 16W80}
    54H15 Transformation groups and semigroups [See also 20M20, 22-XX, 57Sxx]
    54H20 Topological dynamics [See also 28Dxx, 37Bxx]
    54H25 Fixed-point and coincidence theorems [See also 47H10, 55M20]
    54H99 None of the above, but in this section
 
  54J05 Nonstandard topology [See also 03H05]
 
 

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