Zentralblatt MATH

76 Manifolds and cell complexes55R50 Stable classes of vector space bundles,K-theory [See also 19Lxx] (For algebraicK-theory, see 18F25, 19-XX)55R55 Fiberings with singularities55R60 Microbundles and block bundles[See also 57N55, 57Q50]55R65 Generalizations of fiber spaces and bundles55R70 Fibrewise topology55R80 Discriminantal varieties, configurationspaces55R91 Equivariant fiber spaces and bundles[See also 19L47]55R99 None of the above, but in this section55Sxx55S0555S1055S1255S1555S2055S2555S3055S3555S3655S3755S4055S4555S9155S99Operations and obstructionsPrimary cohomology operationsSteenrod algebraDyer-Lashof operationsSymmetric products, cyclic productsSecondary and higher cohomology operationsK-theory operations and generalized cohomologyoperations[See also 19D55, 19Lxx]Massey productsObstruction theoryExtension and compression of mappingsClassification of mappingsSectioning fiber spaces and bundlesPostnikov systems, k-invariantsEquivariant operations and obstructions[See also 19L47]None of the above, but in this section55Txx Spectral sequences[See also 18G40, 55R20]55T05 General55T10 Serre spectral sequences55T15 Adams spectral sequences55T20 Eilenberg-Moore spectral sequences[See also 57T35]55T25 Generalized cohomology55T99 None of the above, but in this section55Uxx Applied homological algebra and categorytheory [See also 18Gxx]55U05 Abstract complexes55U10 Simplicial sets and complexes55U15 Chain complexes55U20 Universal coefficient theorems,Bockstein operator55U25 Homology of a product,Künneth formula55U30 Duality55U35 Abstract and axiomatichomotopy theory55U40 Topological categories,foundations of homotopy theory55U99 None of the above, but in this section57-XX Manifolds and cell complexes(For complex manifolds, see32Qxx)57-00 General reference works (handbooks,dictionaries, bibliographies, etc.)57-01 Instructional exposition(textbooks, tutorial papers, etc.)57-02 Research exposition (monographs,survey articles)57-03 Historical (must also be assigned at leastone classification number from Section01)57-04 Explicit machine computation and programs(not the theory of computation orprogramming)57-06 Proceedings, conferences, collections,etc.57Mxx Low-dimensional topology57M05 Fundamental group, presentations,free differential calculus57M07 Topological methods in group theory57M10 Covering spaces57M12 Special coverings, e.g. branched57M15 Relations with graph theory[See also 05Cxx]57M20 Two-dimensional complexes57M25 Knots and links in S 3(For higher dimensions, see 57Q45)57M27 Invariants of knots and 3-manifolds57M30 Wild knots and surfaces, etc., wild embeddings57M35 Dehn’s lemma, sphere theorem, looptheorem, asphericity57M40 Characterizations of E 3 and S 3(Poincaré conjecture) [See also 57N12]