Wiki143:WikiProject Mathematics/PlanetMath Exchange/57-XX Manifolds and cell complexes

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

• PM: connected sum, id=3800 -- WP : connected sum -- Status: A

Mikkalai 06:36, 14 Feb 2005 (UTC)

• PM: topics on low dimensional topology, id=8072^new! -- WP guess: topics on low dimensional topology -- Status:

57M07 Topological methods in group theory

• PM: Orbifold, id=7607 -- WP guess: Orbifold -- Status:

• PM: motivic cohomology, id=8947^new! -- WP guess: motivic cohomology -- Status:

57M20 Two-dimensional complexes

• PM: surface, id=8071^new! -- WP guess: surface -- Status:

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)

• PM: knot theory, id=3778 -- WP : knot theory -- Status: NM

Mikkalai 06:44, 14 Feb 2005 (UTC)

• PM: unknot, id=3777 -- WP : unknot -- Status: A

Mikkalai 06:44, 14 Feb 2005 (UTC)

• PM: alternating knot, id=8658^new! -- WP guess: alternating knot -- Status:

• PM: amphicheiral knot, id=8655^new! -- WP guess: amphicheiral knot -- Status:

• PM: crossing change, id=8656^new! -- WP guess: crossing change -- Status:

• PM: Jones polynomial, id=8643^new! -- WP guess: Jones polynomial -- Status:

• PM: mirror image of a knot, id=8662^new! -- WP guess: mirror image of a knot -- Status:

• PM: prime knot, id=8864^new! -- WP guess: prime knot -- Status:

• PM: The first non-alternating knot, id=8872^new! -- WP guess: The first non-alternating knot -- Status:

• PM: writhe, id=8659^new! -- WP guess: writhe -- Status:

57M35 Dehn's lemma, sphere theorem, loop theorem, asphericity

• PM: Dehn's lemma, id=7713^new! -- WP guess: Dehn's lemma -- Status:

• PM: loop theorem, id=7786^new! -- WP guess: loop theorem -- Status:

• PM: sphere theorem, id=7714^new! -- WP guess: sphere theorem -- Status:

57M50 Geometric structures on low-dimensional manifolds

• PM: Seifert fiber space, id=7831^new! -- WP guess: Seifert fiber space -- Status:

57M99 Miscellaneous

• PM: Dehn surgery, id=4695 -- WP : Dehn surgery -- Status: NM

Mikkalai 06:45, 14 Feb 2005 (UTC)

57N10 Topology of general $3$-manifolds

• PM: 3-manifolds, id=7623 -- WP guess: 3-manifolds -- Status:

• PM: irreducible n-manifold, id=8157^new! -- WP guess: irreducible n-manifold -- Status:

• PM: prime n-manifold, id=8155^new! -- WP guess: prime n-manifold -- Status:

57N16 Geometric structures on manifolds

• PM: self-intersections of a curve, id=4959 -- WP guess: self-intersections of a curve -- Status:

57N70 Cobordism and concordance

• PM: h-cobordism, id=4720 -- WP: h-cobordism -- Status: A

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

• PM: oriented cobordism, id=4694 -- WP guess: oriented cobordism -- Status:

• PM: Smale's h-cobordism theorem, id=4721 -- WP guess: Smale's h-cobordism theorem -- Status:

57N99 Miscellaneous

• PM: orientation, id=3297 -- WP guess: orientation -- Status:

57R12 Smooth approximations

• PM: \mathcal{C}^r topologies, id=5555 -- WP guess: \mathcalC^r topologies, Whitney topology -- Status:

57R19 Algebraic topology on manifolds

• PM: handle decomposition, id=7180 -- WP guess: handle decomposition -- Status:

57R22 Topology of vector bundles and fiber bundles

• PM: hairy ball theorem, id=3646 -- WP guess: hairy ball theorem -- Status:

57R35 Differentiable mappings

• PM: Brouwer degree, id=6554 -- WP guess: Brouwer degree -- Status:

• PM: degree mod 2 of a mapping, id=6555 -- WP guess: degree mod 2 of a mapping -- Status:

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

• PM: Sard's theorem, id=3477 -- WP guess: Sard's theorem -- Status:

• PM: Sard's theorem, id=8305^new! -- WP guess: Sard's theorem -- Status:

57R40 Embeddings

• PM: embedding, id=6557 -- WP guess: embedding -- Status:

• PM: abstract embedding, id=8679^new! -- WP guess: abstract embedding -- Status:

57R42 Immersions

• PM: immersion, id=2834 -- WP guess: immersion -- Status:

57R50 Diffeomorphisms

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

• PM: mapping class group, id=6559 -- WP guess: mapping class group -- Status:

• PM: examples of mapping class group, id=7631^new! -- WP guess: examples of mapping class group -- Status:

57R52 Isotopy

• PM: isotopy, id=6558 -- WP guess: isotopy -- Status:

57R60 Homotopy spheres, Poincaré conjecture

• PM: homology sphere, id=4696 -- WP guess: homology sphere -- Status:

• PM: Poincaré conjecture, id=4698 -- WP: Poincaré conjecture -- Status: A

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

• PM: The Poincaré dodecahedral space, id=4700 -- WP guess: Poincaré dodecahedral space -- Status:

• PM: Thurston's geometrization conjecture, id=8536^new! -- WP guess: Thurston's geometrization conjecture -- Status:

57R70 Critical points and critical submanifolds

• PM: round function, id=7687^new! -- WP guess: round function -- Status:

57R99 Miscellaneous

• PM: transversality, id=4071 -- WP guess: transversality -- Status:

57S25 Groups acting on specific manifolds

• PM: isomorphism of the group PSL_2(C) with the group of Möbius transformations, id=3023 -- WP: Möbius transformation -- Status: A

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