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Biblioteca Dr. Antonio Monteiro · Catálogo |
| 57 | Manifolds and cell complexes | ||
| 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 | ||
| 57-04 | Explicit machine computation and programs (not the theory of computation or programming) | ||
| 57-06 | Proceedings, conferences, collections, etc. | ||
| 57-99 | Manifolds and cell complexes (not classified at a more specific level) | ||
| 57M | Low-dimensional topology | ||
| 57M05 | Fundamental group, presentations, free differential calculus | ||
| 57M07 | Topological methods in group theory | ||
| 57M10 | Covering spaces | ||
| 57M12 | Special coverings, e.g. branched | ||
| 57M15 | Relations with graph theory [See also 05Cxx] | ||
| 57M20 | Two-dimensional complexes | ||
| 57M25 | Knots and links in $S^3$ {For higher dimensions, see 57Q45} | ||
| 57M27 | Invariants of knots and 3-manifolds | ||
| 57M30 | Wild knots and surfaces, etc., wild embeddings | ||
| 57M35 | Dehn's lemma, sphere theorem, loop theorem, asphericity | ||
| 57M40 | Characterizations of $E^3$ and $S^3$ (Poincaré conjecture) [See also 57N12] | ||
| 57M50 | Geometric structures on low-dimensional manifolds | ||
| 57M60 | Group actions in low dimensions | ||
| 57M99 | None of the above, but in this section | ||
| 57N | Topological manifolds | ||
| 57N05 | Topology of $E^2$, $2$-manifolds | ||
| 57N10 | Topology of general $3$-manifolds [See also 57Mxx] | ||
| 57N12 | Topology of $E^3$ and $S^3$ [See also 57M40] | ||
| 57N13 | Topology of $E^4$, $4$-manifolds [See also 14Jxx, 32Jxx] | ||
| 57N15 | Topology of $E^n$, $n$-manifolds ($4 < n < \infty$) | ||
| 57N16 | Geometric structures on manifolds [See also 57M50] | ||
| 57N17 | Topology of topological vector spaces | ||
| 57N20 | Topology of infinite-dimensional manifolds [See also 58Bxx] | ||
| 57N25 | Shapes [See also 54C56, 55P55, 55Q07] | ||
| 57N30 | Engulfing | ||
| 57N35 | Embeddings and immersions | ||
| 57N37 | Isotopy and pseudo-isotopy | ||
| 57N40 | Neighborhoods of submanifolds | ||
| 57N45 | Flatness and tameness | ||
| 57N50 | $S^{n-1}\subset E^n$, Schoenflies problem | ||
| 57N55 | Microbundles and block bundles [See also 55R60, 57Q50] | ||
| 57N60 | Cellularity | ||
| 57N65 | Algebraic topology of manifolds | ||
| 57N70 | Cobordism and concordance | ||
| 57N75 | General position and transversality | ||
| 57N80 | Stratifications | ||
| 57N99 | None of the above, but in this section | ||
| 57P | Generalized manifolds [See also 18F15] | ||
| 57P05 | Local properties of generalized manifolds | ||
| 57P10 | Poincaré duality spaces | ||
| 57P99 | None of the above, but in this section | ||
| 57Q | PL-topology | ||
| 57Q05 | General topology of complexes | ||
| 57Q10 | Simple homotopy type, Whitehead torsion, Reidemeister-Franz torsion, etc. [See also 19B28] | ||
| 57Q12 | Wall finiteness obstruction for CW-complexes | ||
| 57Q15 | Triangulating manifolds | ||
| 57Q20 | Cobordism | ||
| 57Q25 | Comparison of PL-structures: classification, Hauptvermutung | ||
| 57Q30 | Engulfing | ||
| 57Q35 | Embeddings and immersions | ||
| 57Q37 | Isotopy | ||
| 57Q40 | Regular neighborhoods | ||
| 57Q45 | Knots and links (in high dimensions) {For the low-dimensional case, see 57M25} | ||
| 57Q50 | Microbundles and block bundles [See also 55R60, 57N55] | ||
| 57Q55 | Approximations | ||
| 57Q60 | Cobordism and concordance | ||
| 57Q65 | General position and transversality | ||
| 57Q91 | Equivariant PL-topology | ||
| 57Q99 | None of the above, but in this section | ||
| 57R | Differential topology {For foundational questions of differentiable manifolds, see 58Axx; for infinite-dimensional manifolds, see 58Bxx} | ||
| 57R05 | Triangulating | ||
| 57R10 | Smoothing | ||
| 57R12 | Smooth approximations | ||
| 57R15 | Specialized structures on manifolds (spin manifolds, framed manifolds, etc.) | ||
| 57R17 | Symplectic and contact topology | ||
| 57R19 | Algebraic topology on manifolds | ||
| 57R20 | Characteristic classes and numbers | ||
| 57R22 | Topology of vector bundles and fiber bundles [See also 55Rxx] | ||
| 57R25 | Vector fields, frame fields | ||
| 57R27 | Controllability of vector fields on $C^\infty$ and real-analytic manifolds [See also 49Qxx, 37C10, 93B05] | ||
| 57R30 | Foliations; geometric theory | ||
| 57R32 | Classifying spaces for foliations; Gelfand-Fuks cohomology [See also 58H10] | ||
| 57R35 | Differentiable mappings | ||
| 57R40 | Embeddings | ||
| 57R42 | Immersions | ||
| 57R45 | Singularities of differentiable mappings | ||
| 57R50 | Diffeomorphisms | ||
| 57R52 | Isotopy | ||
| 57R55 | Differentiable structures | ||
| 57R56 | Topological quantum field theories | ||
| 57R57 | Applications of global analysis to structures on manifolds, Donaldson and Seiberg-Witten invariants [See also 58-XX] | ||
| 57R58 | Floer homology | ||
| 57R60 | Homotopy spheres, Poincaré conjecture | ||
| 57R65 | Surgery and handlebodies | ||
| 57R67 | Surgery obstructions, Wall groups [See also 19J25] | ||
| 57R70 | Critical points and critical submanifolds | ||
| 57R75 | O- and SO-cobordism | ||
| 57R77 | Complex cobordism (U- and SU-cobordism) [See also 55N22] | ||
| 57R80 | $h$- and $s$-cobordism | ||
| 57R85 | Equivariant cobordism | ||
| 57R90 | Other types of cobordism [See also 55N22] | ||
| 57R91 | Equivariant algebraic topology of manifolds | ||
| 57R95 | Realizing cycles by submanifolds | ||
| 57R99 | None of the above, but in this section | ||
| 57S | Topological transformation groups [See also 20F34, 22-XX, 37-XX, 54H15, 58D05] | ||
| 57S05 | Topological properties of groups of homeomorphisms or diffeomorphisms | ||
| 57S10 | Compact groups of homeomorphisms | ||
| 57S15 | Compact Lie groups of differentiable transformations | ||
| 57S17 | Finite transformation groups | ||
| 57S20 | Noncompact Lie groups of transformations | ||
| 57S25 | Groups acting on specific manifolds | ||
| 57S30 | Discontinuous groups of transformations | ||
| 57S99 | None of the above, but in this section | ||
| 57T | Homology and homotopy of topological groups and related structures | ||
| 57T05 | Hopf algebras [See also 16W30] | ||
| 57T10 | Homology and cohomology of Lie groups | ||
| 57T15 | Homology and cohomology of homogeneous spaces of Lie groups | ||
| 57T20 | Homotopy groups of topological groups and homogeneous spaces | ||
| 57T25 | Homology and cohomology of ${H}$-spaces | ||
| 57T30 | Bar and cobar constructions [See also 18G55, 55Uxx] | ||
| 57T35 | Applications of Eilenberg-Moore spectral sequences [See also 55R20, 55T20] | ||
| 57T99 | None of the above, but in this section | ||
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