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Navegando por la clasificación temática MSC 2000: 55 · Algebraic topology
 
55 Algebraic topology
  55-00 General reference works (handbooks, dictionaries, bibliographies, etc.)
  55-01 Instructional exposition (textbooks, tutorial papers, etc.)
  55-02 Research exposition (monographs, survey articles)
  55-03 Historical
  55-04 Explicit machine computation and programs (not the theory of computation or programming)
  55-06 Proceedings, conferences, collections, etc.
  55-99 Algebraic topology (not classified at a more specific level)
 
  55M Classical topics {For the topology of Euclidean spaces and manifolds, see 57Nxx}
    55M05 Duality
    55M10 Dimension theory [See also 54F45]
    55M15 Absolute neighborhood retracts [See also 54C55]
    55M20 Fixed points and coincidences [See also 54H25]
    55M25 Degree, winding number
    55M30 Ljusternik-Schnirelman (Lyusternik-Shnirelman) category of a space
    55M35 Finite groups of transformations (including Smith theory) [See also 57S17]
    55M99 None of the above, but in this section
 
  55N Homology and cohomology theories [See also 57Txx]
    55N05 Cech types
    55N07 Steenrod-Sitnikov homologies
    55N10 Singular theory
    55N15 $K$-theory [See also 19Lxx] {For algebraic $K$-theory, see 18F25, 19-XX}
    55N20 Generalized (extraordinary) homology and cohomology theories
    55N22 Bordism and cobordism theories, formal group laws [See also 14L05, 19L41, 57R75, 57R77, 57R85, 57R90]
    55N25 Homology with local coefficients, equivariant cohomology
    55N30 Sheaf cohomology [See also 18F20, 32C35, 32L10]
    55N33 Intersection homology and cohomology
    55N34 Elliptic cohomology
    55N35 Other homology theories
    55N40 Axioms for homology theory and uniqueness theorems
    55N45 Products and intersections
    55N91 Equivariant homology and cohomology [See also 19L47]
    55N99 None of the above, but in this section
 
  55P Homotopy theory {For simple homotopy type, see 57Q10}
    55P05 Homotopy extension properties, cofibrations
    55P10 Homotopy equivalences
    55P15 Classification of homotopy type
    55P20 Eilenberg-Mac Lane spaces
    55P25 Spanier-Whitehead duality
    55P30 Eckmann-Hilton duality
    55P35 Loop spaces
    55P40 Suspensions
    55P42 Stable homotopy theory, spectra
    55P43 Spectra with additional structure ($E_\infty$, $A_\infty$, ring spectra, etc.)
    55P45 ${H}$-spaces and duals
    55P47 Infinite loop spaces
    55P48 Loop space machines, operads [See also 18D50]
    55P55 Shape theory [See also 54C56, 55Q07]
    55P57 Proper homotopy theory
    55P60 Localization and completion
    55P62 Rational homotopy theory
    55P65 Homotopy functors
    55P91 Equivariant homotopy theory [See also 19L47]
    55P92 Relations between equivariant and nonequivariant homotopy theory
    55P99 None of the above, but in this section
 
  55Q Homotopy groups
    55Q05 Homotopy groups, general; sets of homotopy classes
    55Q07 Shape groups
    55Q10 Stable homotopy groups
    55Q15 Whitehead products and generalizations
    55Q20 Homotopy groups of wedges, joins, and simple spaces
    55Q25 Hopf invariants
    55Q35 Operations in homotopy groups
    55Q40 Homotopy groups of spheres
    55Q45 Stable homotopy of spheres
    55Q50 $J$-morphism [See also 19L20]
    55Q51 $v_n$-periodicity
    55Q52 Homotopy groups of special spaces
    55Q55 Cohomotopy groups
    55Q70 Homotopy groups of special types [See also 55N05, 55N07]
    55Q91 Equivariant homotopy groups [See also 19L47]
    55Q99 None of the above, but in this section
 
  55R Fiber spaces and bundles [See also 18F15, 32Lxx, 46M20, 57R20, 57R22, 57R25]
    55R05 Fiber spaces
    55R10 Fiber bundles
    55R12 Transfer
    55R15 Classification
    55R20 Spectral sequences and homology of fiber spaces [See also 55Txx]
    55R25 Sphere bundles and vector bundles
    55R35 Classifying spaces of groups and ${H}$-spaces
    55R37 Maps between classifying spaces
    55R40 Homology of classifying spaces, characteristic classes [See also 57Txx, 57R20]
    55R45 Homology and homotopy of $B{\rm O}$ and $B{\rm U}$; Bott periodicity
    55R50 Stable classes of vector space bundles, $K$-theory [See also 19Lxx] {For algebraic $K$-theory, see 18F25, 19-XX}
    55R55 Fiberings with singularities
    55R60 Microbundles and block bundles [See also 57N55, 57Q50]
    55R65 Generalizations of fiber spaces and bundles
    55R70 Fibrewise topology
    55R80 Discriminantal varieties, configuration spaces
    55R91 Equivariant fiber spaces and bundles [See also 19L47]
    55R99 None of the above, but in this section
 
  55S Operations and obstructions
    55S05 Primary cohomology operations
    55S10 Steenrod algebra
    55S12 Dyer-Lashof operations
    55S15 Symmetric products, cyclic products
    55S20 Secondary and higher cohomology operations
    55S25 $K$-theory operations and generalized cohomology operations [See also 19D55, 19Lxx]
    55S30 Massey products
    55S35 Obstruction theory
    55S36 Extension and compression of mappings
    55S37 Classification of mappings
    55S40 Sectioning fiber spaces and bundles
    55S45 Postnikov systems, $k$-invariants
    55S91 Equivariant operations and obstructions [See also 19L47]
    55S99 None of the above, but in this section
 
  55T Spectral sequences [See also 18G40, 55R20]
    55T05 General
    55T10 Serre spectral sequences
    55T15 Adams spectral sequences
    55T20 Eilenberg-Moore spectral sequences [See also 57T35]
    55T25 Generalized cohomology
    55T99 None of the above, but in this section
 
  55U Applied homological algebra and category theory [See also 18Gxx]
    55U05 Abstract complexes
    55U10 Simplicial sets and complexes
    55U15 Chain complexes
    55U20 Universal coefficient theorems, Bockstein operator
    55U25 Homology of a product, Künneth formula
    55U30 Duality
    55U35 Abstract and axiomatic homotopy theory
    55U40 Topological categories, foundations of homotopy theory
    55U99 None of the above, but in this section
 

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