Wikipedia:WikiProject Mathematics/PlanetMath Exchange/57-XX Manifolds and cell complexes

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57-XX Manifolds and cell complexes.

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[edit] 57-00 General reference works (handbooks, dictionaries, bibliographies, etc.)

Mikkalai 06:36, 14 Feb 2005 (UTC)

[edit] 57M05 Fundamental group, presentations, free differential calculus

[edit] 57M07 Topological methods in group theory

[edit] 57M10 Covering spaces

[edit] 57M20 Two-dimensional complexes

[edit] 57M25 Knots and links in $S^3$

  • PM: connected sum, id=3780 -- WP : connected sum of knots -- Status: NC
Possibly to be merged into connected sum. Mikkalai 06:44, 14 Feb 2005 (UTC)
Mikkalai 06:44, 14 Feb 2005 (UTC)
Mikkalai 06:44, 14 Feb 2005 (UTC)

[edit] 57M35 Dehn's lemma, sphere theorem, loop theorem, asphericity

[edit] 57M50 Geometric structures on low-dimensional manifolds

[edit] 57M99 Miscellaneous

Mikkalai 06:45, 14 Feb 2005 (UTC)

[edit] 57Mxx Low-dimensional topology

[edit] 57N10 Topology of general $3$-manifolds

[edit] 57N16 Geometric structures on manifolds

[edit] 57N17 Topology of topological vector spaces

[edit] 57N70 Cobordism and concordance

Paul August ☎ 05:38, 8 February 2007 (UTC)

[edit] 57N99 Miscellaneous

[edit] 57Nxx Topological manifolds

[edit] 57Q05 General topology of complexes

[edit] 57Q20 Cobordism

[edit] 57Qxx PL-topology

[edit] 57R12 Smooth approximations

[edit] 57R19 Algebraic topology on manifolds

[edit] 57R22 Topology of vector bundles and fiber bundles

[edit] 57R35 Differentiable mappings

  • PM: Hopf theorem, id=6553 -- WP guess: Hopf theorem -- Status:

[edit] 57R40 Embeddings

[edit] 57R42 Immersions

[edit] 57R50 Diffeomorphisms

  • PM: diffeotopy, id=6556 -- WP guess: diffeotopy -- Status:

[edit] 57R52 Isotopy

[edit] 57R60 Homotopy spheres, Poincaré conjecture

Paul August ☎ 05:47, 8 February 2007 (UTC)

[edit] 57R70 Critical points and critical submanifolds

[edit] 57R99 Miscellaneous

[edit] 57Rxx Differential topology

[edit] 57S05 Topological properties of groups of homeomorphisms or diffeomorphisms

[edit] 57S25 Groups acting on specific manifolds

Paul August ☎ 05:28, 8 February 2007 (UTC)

[edit] 57Sxx Topological transformation groups