Mathematics Subject Classification 1991

55-XX Algebraic topology ( 0 Dok.)

• 55-00 General reference works (handbooks, dictionaries, bibliographies, etc.) ( 0 Dok.)
• 55-01 Instructional exposition (textbooks, tutorial papers, etc.) ( 0 Dok.)
• 55-02 Research exposition (monographs, survey articles) ( 0 Dok.)
• 55-03 Historical (must be assigned at least one classification number from Section 01) ( 0 Dok.)
• 55-04 Explicit machine computation and programs (not the theory of computation or programming) ( 0 Dok.)
• 55-06 Proceedings, conferences, collections, etc. ( 0 Dok.)
• 55Mxx Classical topics, {For the topology of Euclidean spaces and manifolds, See {57Nxx} {57Nxx}} ( 0 Dok. )
• 55M05 Duality ( 0 Dok.)
• 55M10 Dimension theory, See also {54F45} ( 0 Dok.)
• 55M15 Absolute neighborhood retracts, See also {54C55} ( 0 Dok.)
• 55M20 Fixed points and coincidences, See also {54H25} ( 0 Dok.)
• 55M25 Degree, winding number ( 0 Dok.)
• 55M30 Ljusternik-Schnirelman (Lyusternik-Shnirelman) category of a space ( 0 Dok.)
• 55M35 Finite groups of transformations (including Smith theory), See also {57S17} ( 0 Dok.)
• 55M99 None of the above but in this section ( 0 Dok.)
• 55Nxx Homology and cohomology theories, See also {57Txx} ( 0 Dok. )
• 55N05 Cech types ( 0 Dok.)
• 55N07 Steenrod-Sitnikov homologies ( 0 Dok.)
• 55N10 Singular theory ( 0 Dok.)
• 55N15 $K$-theory, See also {19Lxx}, {For algebraic $K$-theory, See 18F25, 19-XX} ( 0 Dok.)
• 55N20 Generalized (extraordinary) homology and cohomology theories ( 0 Dok.)
• 55N22 Bordism and cobordism theories, formal group laws, See also {14L05, 19L41, 57R75, 57R77, 57R85, 57R90} ( 0 Dok.)
• 55N25 Homology with local coefficients, equivariant cohomology ( 0 Dok.)
• 55N30 Sheaf cohomology, See also {18F20, 32C35, 32L10} ( 0 Dok.)
• 55N33 Intersection homology and cohomology ( 0 Dok.)
• 55N35 Other homology theories ( 0 Dok.)
• 55N40 Axioms for homology theory and uniqueness theorems ( 0 Dok.)
• 55N45 Products and intersections ( 0 Dok.)
• 55N91 Equivariant homology and cohomology, See also {19L47} ( 0 Dok.)
• 55N99 None of the above but in this section ( 0 Dok.)
• 55Pxx Homotopy theory, {For simple homotopy type, See 57Q10} ( 0 Dok. )
• 55P05 Homotopy extension properties, cofibrations ( 0 Dok.)
• 55P10 Homotopy equivalences ( 0 Dok.)
• 55P15 Classification of homotopy type ( 0 Dok.)
• 55P20 Eilenberg-Mac Lane spaces ( 0 Dok.)
• 55P25 Spanier-Whitehead duality ( 0 Dok.)
• 55P30 Eckmann-Hilton duality ( 0 Dok.)
• 55P35 Loop spaces ( 0 Dok.)
• 55P40 Suspensions ( 0 Dok.)
• 55P42 Stable homotopy theory, spectra ( 0 Dok.)
• 55P45 ${H}$-spaces and duals ( 0 Dok.)
• 55P47 Infinite loop spaces ( 0 Dok.)
• 55P50 Category and cocategory, etc. ( 0 Dok.)
• 55P55 Shape theory, See also {54C56, 55Q07} ( 0 Dok.)
• 55P60 Localization and completion ( 0 Dok.)
• 55P62 Rational homotopy theory ( 0 Dok.)
• 55P65 Homotopy functors ( 0 Dok.)
• 55P91 Equivariant homotopy theory, See also {19L47} ( 0 Dok.)
• 55P99 None of the above but in this section ( 0 Dok.)
• 55Qxx Homotopy groups ( 0 Dok. )
• 55Q05 Homotopy groups, general; sets of homotopy classes ( 0 Dok.)
• 55Q07 Shape groups ( 0 Dok.)
• 55Q10 Stable homotopy groups ( 0 Dok.)
• 55Q15 Whitehead products and generalizations ( 0 Dok.)
• 55Q20 Homotopy groups of wedges, joins, and simple spaces ( 0 Dok.)
• 55Q25 Hopf invariants ( 0 Dok.)
• 55Q30 Homotopy groups of triads, $n$-ads ( 0 Dok.)
• 55Q35 Operations in homotopy groups ( 0 Dok.)
• 55Q40 Homotopy groups of spheres ( 0 Dok.)
• 55Q45 Stable homotopy of spheres ( 0 Dok.)
• 55Q50 $J$-morphism, See also {19L20} ( 0 Dok.)
• 55Q52 Homotopy groups of special spaces ( 0 Dok.)
• 55Q55 Cohomotopy groups ( 0 Dok.)
• 55Q70 Homotopy groups of special types, See also {55N05, 55N07} ( 0 Dok.)
• 55Q91 Equivariant homotopy groups, See also {19L47} ( 0 Dok.)
• 55Q99 None of the above but in this section ( 0 Dok.)
• 55Rxx Fiber spaces and bundles, See also {18F15, 32Lxx, 46M20, {57Rxx} {57R20, 57R22, 57R25}} ( 0 Dok. )
• 55R05 Fiber spaces ( 0 Dok.)
• 55R10 Fiber bundles ( 0 Dok.)
• 55R12 Transfer ( 0 Dok.)
• 55R15 Classification ( 0 Dok.)
• 55R20 Spectral sequences and homology of fiber spaces, See Also { 55Txx} ( 0 Dok.)
• 55R25 Sphere bundles and vector space bundles ( 0 Dok.)
• 55R35 Classifying spaces of groups and ${H}$-spaces ( 0 Dok.)
• 55R40 Homology of classifying spaces, characteristic classes, See also {57Txx, 57R20} ( 0 Dok.)
• 55R45 Homology and homotopy of $BO$ and $BU$; Bottperiodicity ( 0 Dok.)
• 55R50 Stable classes of vector space bundles, $K$-theory, See also {19Lxx}, {For algebraic $K$-theory, See 18F25,19-XX} ( 0 Dok.)
• 55R55 Fiberings with singularities ( 0 Dok.)
• 55R60 Microbundles and block bundles, See also {57N55, 57Q50} ( 0 Dok.)
• 55R65 Generalizations of fiber spaces and bundles ( 0 Dok.)
• 55R91 Equivariant fiber spaces and bundles, See also {19L47} ( 0 Dok.)
• 55R99 None of the above but in this section ( 0 Dok.)
• 55Sxx Operations and obstructions ( 0 Dok. )
• 55S05 Primary cohomology operations ( 0 Dok.)
• 55S10 Steenrod algebra ( 0 Dok.)
• 55S12 Dyer-Lashof operations ( 0 Dok.)
• 55S15 Symmetric products, cyclic products ( 0 Dok.)
• 55S20 Secondary and higher cohomology operations ( 0 Dok.)
• 55S25 $K$-theory operations and generalized cohomology operations, See also {19D55, 19Lxx} ( 0 Dok.)
• 55S30 Massey products ( 0 Dok.)
• 55S35 Obstruction theory ( 0 Dok.)
• 55S36 Extension and compression of mappings ( 0 Dok.)
• 55S37 Classification of mappings ( 0 Dok.)
• 55S40 Sectioning fiber spaces and bundles ( 0 Dok.)
• 55S45 Postnikov systems, $k$-invariants ( 0 Dok.)
• 55S91 Equivariant operations and obstructions, See also {19L47} ( 0 Dok.)
• 55S99 None of the above but in this section ( 0 Dok.)
• 55Txx Spectral sequences, See also {18G40, 55R20} ( 0 Dok. )
• 55T05 General ( 0 Dok.)
• 55T10 Serre spectral sequences ( 0 Dok.)
• 55T15 Adams spectral sequences ( 0 Dok.)
• 55T20 Eilenberg-Moore spectral sequences, See also {57T35} ( 0 Dok.)
• 55T25 Generalized cohomology ( 0 Dok.)
• 55T99 None of the above but in this section ( 0 Dok.)
• 55Uxx Applied homological algebra and category theory, See Also { 18Gxx} ( 0 Dok. )
• 55U05 Abstract complexes ( 0 Dok.)
• 55U10 Semisimplicial complexes ( 0 Dok.)
• 55U15 Chain complexes ( 0 Dok.)
• 55U20 Universal coefficient theorems, Bockstein operator ( 0 Dok.)
• 55U25 Homology of a product, Kunneth formula ( 0 Dok.)
• 55U30 Duality ( 0 Dok.)
• 55U35 Abstract homotopy theory ( 0 Dok.)
• 55U40 Topological categories ( 0 Dok.)
• 55U99 None of the above but in this section ( 0 Dok.)