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  • mathematical field of geometric topology, a handlebody is a decomposition of a manifold into standard pieces. Handlebodies play an important role in Morse theory…
    5 kB (785 palabras) - 11:35 21 ene 2023
  • oriented 3-manifold that results from dividing it into two handlebodies. Let V and W be handlebodies of genus g, and let ƒ be an orientation reversing homeomorphism…
    13 kB (1945 palabras) - 17:25 4 ene 2024
  • 3-manifold is a decomposition of a 3-manifold into the union of two (3,1)-handlebodies along their common boundary, called the Heegaard splitting surface. Heegaard…
    10 kB (1855 palabras) - 03:12 8 mar 2024
  • orientable surface is null-cobordant, because it is the boundary of a handlebody. On the other hand, the 2n-dimensional real projective space P 2 n ( R…
    34 kB (5214 palabras) - 10:13 2 may 2024
  • method used to decompose into handlebodies is the Heegaard splitting, which gives us a decomposition in two handlebodies of equal genus. As an example:…
    2 kB (228 palabras) - 18:10 10 dic 2021
  • gluing the unit disk along the boundary. The genus of a 3-dimensional handlebody is an integer representing the maximum number of cuttings along embedded…
    10 kB (1373 palabras) - 13:30 10 mar 2024
  • March 11, 2011. Andrews, J. J.; Curtis, M. L. (1965), "Free groups and handlebodies", Proceedings of the American Mathematical Society, 16 (2): 192–195,…
    85 kB (4609 palabras) - 19:27 30 abr 2024
  • subset of a genus g handlebody in S³ (whose complement is also a genus g handlebody). If a link is a subset of a genus two handlebody, it is a double torus…
    16 kB (1790 palabras) - 11:30 5 dic 2023
  • boundary with that link Trigenus Compact, closed 3-manifolds Surgeries Three orientable handlebodies Unions along subsurfaces on boundaries of handlebodies
    4 kB (192 palabras) - 11:21 4 nov 2021
  • geometric topology, most commonly studied are Morse functions, which yield handlebody decompositions, while in mathematical analysis, one often studies solution…
    67 kB (9476 palabras) - 21:20 15 feb 2024
  • {\displaystyle S^{3}} is a handlebody. (The complement of a Seifert surface generated by the Seifert algorithm is always a handlebody.) For any knot the inequality…
    10 kB (1356 palabras) - 08:21 21 oct 2023
  • 3-manifolds, a compression body is a kind of generalized handlebody. A compression body is either a handlebody or the result of the following construction: Let…
    2 kB (205 palabras) - 21:31 3 abr 2022
  • manifold of dimension not equal to 4 has a handlebody decomposition. Manifolds of dimension 4 have a handlebody decomposition if and only if they are smoothable…
    15 kB (1940 palabras) - 01:03 26 oct 2023
  • Andrews–Curtis conjecture. Andrews, J. J.; Curtis, M. L. (1965), "Free groups and handlebodies", Proceedings of the American Mathematical Society, 16 (2), American…
    2 kB (163 palabras) - 16:25 26 sep 2023
  • n-manifolds ( n ≥ 4 {\displaystyle n\geq 4} ) presented as CW complexes or handlebodies, there is no algorithm for determining if they are isomorphic (homeomorphic…
    17 kB (2289 palabras) - 07:01 31 mar 2024
  • retrieved 2011-07-13. Andrews, J. J.; Curtis, M. L. (1965), "Free groups and handlebodies", Proceedings of the American Mathematical Society, 16 (2): 192–195,…
    3 kB (278 palabras) - 09:56 7 abr 2024
  • cut or boundary. This is closely related to, but not identical with, handlebody decompositions. It is a major tool in the study and classification of…
    13 kB (1751 palabras) - 14:32 7 sep 2023
  • a compact oriented 3-manifold that results from dividing it into two handlebodies. Every closed, orientable three-manifold may be so obtained; this follows…
    45 kB (5836 palabras) - 09:37 24 abr 2024
  • manifold of dimension not equal to 4 has a handlebody decomposition. Manifolds of dimension 4 have a handlebody decomposition if and only if they are smoothable…
    19 kB (2363 palabras) - 15:38 16 feb 2024
  • International Journal of Mathematics vol. 1, no 1 (1990) 29–46. Robert Gompf, Handlebody construction of Stein surfaces, Annals of Mathematics 148, (1998) 619–693…
    10 kB (1482 palabras) - 04:38 3 may 2024
  • splitting, a two-dimensional surface that partitions a 3-manifold into two handlebodies. It aims to present the main ideas of this area, but does not include…
    6 kB (751 palabras) - 14:23 31 dic 2023