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- A Seifert fiber space is a 3-manifold together with a decomposition as a disjoint union of circles. In other words, it is a S 1 {\displaystyle S^{1}}…19 kB (3040 palabras) - 11:33 7 nov 2023
- geometry are all compact, orientable, and have the structure of a Seifert fiber space (often in several ways). The complete list of such manifolds is given…31 kB (4049 palabras) - 01:04 26 mar 2024
- space, however, was that for Seifert what is now called the base space (topological space) of a fiber (topological) space E was not part of the structure…29 kB (4084 palabras) - 09:22 2 abr 2024
- Spherical 3-manifold (redirección desde Spherical space form)lens space L(2,1) is 3 dimensional real projective space. Lens spaces can be represented as Seifert fiber spaces in many ways, usually as fiber spaces over…8 kB (1366 palabras) - 21:03 23 feb 2024
- faces of a polyhedron. Euler number (3-manifold topology) – see Seifert fiber space Lucky numbers of Euler Euler's constant gamma (γ), also known as…14 kB (1616 palabras) - 11:50 8 feb 2024
- Homology sphere (redirección desde Poincaré dodecahedral space)integers all at least 2 such that any two are coprime. Then the Seifert fiber space {b,(o1,0);(a1,b1),…,(ar,br)}{\displaystyle \{b,(o_{1},0);(a_{1},b_{1})…11 kB (1534 palabras) - 01:17 25 nov 2023
- conception of a fiber space, however, was that for Seifert what is now called the base space (topological space) of a fiber (topological) space E {\displaystyle…10 kB (1491 palabras) - 02:46 14 abr 2023
- thesis were afterwards named Seifert fiber spaces. Seifert continued to collaborate with Threlfall, and in 1934 (the year Seifert received his habilitation)…5 kB (423 palabras) - 23:39 18 jul 2023
- "Seifert fibered spaces in 3-manifolds", Memoirs of the American Mathematical Society, 21 (220). Jaco, William; Shalen, Peter B. Seifert fibered spaces…4 kB (542 palabras) - 01:39 6 abr 2024
- 3-manifold (redirección desde 3-space)Hyperbolic 3-manifold I-bundles Knot and link complements Lens space Seifert fiber spaces, Circle bundles Spherical 3-manifold Surface bundles over the…45 kB (5836 palabras) - 09:37 24 abr 2024
- said to virtually fiber. If M is a Seifert fiber space, then M virtually fibers if and only if the rational Euler number of the Seifert fibration or the…6 kB (660 palabras) - 02:09 8 abr 2024
- 3-manifolds, Bieberbach Theorem, Flat manifolds, Crystallographic groups Seifert fiber space Heegaard splitting Waldhausen conjecture Compression body Handlebody…3 kB (262 palabras) - 12:17 30 oct 2023
- is a circle bundle over some 2-dimensional hyperbolic orbifold (a Seifert fiber space). Under this covering, the preimage of the modular group PSL(2, Z)…21 kB (2986 palabras) - 14:42 16 abr 2024
- 3-space is the Seifert surface associated to its boundary link. A single knot or link can have many different inequivalent Seifert surfaces. A Seifert surface…10 kB (1356 palabras) - 08:21 21 oct 2023
- cusp points. In 3-manifold theory, the theory of Seifert fiber spaces, initiated by Herbert Seifert, can be phrased in terms of 2-dimensional orbifolds…78 kB (10 163 palabras) - 06:10 19 abr 2024
- 3-manifolds, Property R Conjecture, foundation of essential laminations, Seifert fiber space conjecture, rigidity of homotopy hyperbolic 3-manifolds, weak hyperbolization…6 kB (530 palabras) - 09:56 7 abr 2024
- example above. Link complements, cf. also knot complements. Most Seifert fiber spaces have many incompressible tori Manifold decomposition P2-irreducible…8 kB (977 palabras) - 13:58 21 oct 2023
- the collective work of about a dozen mathematicians who proved the Seifert fiber space conjecture. In 1992 he was an invited speaker with talk Generalizations…6 kB (535 palabras) - 19:12 8 feb 2024
- non-Seifert-fibered 3-manifolds. These were the first such examples; previously it had been believed that except for certain Seifert fiber spaces, all…22 kB (2137 palabras) - 10:00 7 abr 2024
- standard. The same holds for lens spaces (as proved by Francis Bonahon and Otal). Splittings of Seifert fiber spaces are more subtle. Here, all splittings…13 kB (1945 palabras) - 17:25 4 ene 2024
- I-bundle (categoría Fiber bundles)Together with the Seifert fiber spaces, I-bundles are fundamental elementary building blocks for the description of three-dimensional spaces. These observations…3 kB (313 palabras) - 07:29 29 mar 2024