55-00 General reference works (handbooks, dictionaries, bibliographies, etc.) pertaining to algebraic topology 18
55-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to algebraic topology 405
55Mxx Classical topics in algebraic topology {For the topology of Euclidean spaces and manifolds, see 57Nxx} 5896
55M30 Lyusternik-Shnirel’man category of a space, topological complexity à la Farber, topological robotics (topological aspects) 975
55M35 Finite groups of transformations in algebraic topology (including Smith theory) [See also 57S17] 543
55Nxx Homology and cohomology theories in algebraic topology {For homology and cohomology of topological groups and related structures, see 57Txx} 9720
55N22 Bordism and cobordism theories and formal group laws in algebraic topology [See also 14L05, 19L41, 57R75, 57R77, 57R85, 57R90] 1213
55Rxx Fiber spaces and bundles in algebraic topology [See also 18F15, 32Lxx, 46M20, 57R20, 57R22, 57R25] 8297
55R40 Homology of classifying spaces and characteristic classes in algebraic topology [See also 57Txx, 57R20] 1351
55R50 Stable classes of vector space bundles in algebraic topology and relations to \(K\)-theory [See also 19Lxx] {For algebraic \(K\)-theory, see 18F25, 19-XX} 545
55S25 \(K\)-theory operations and generalized cohomology operations in algebraic topology [See also 19D55, 19Lxx] 380