On 3-manifolds
| dc.creator | Nikitin, Sergey | |
| dc.date | 2005-11-18 | |
| dc.date | 2006-02-06 | |
| dc.date.accessioned | 2026-07-07T06:51:25Z | |
| dc.date.available | 2026-07-07T06:51:25Z | |
| dc.description | It is well known that a three dimensional (closed, connected and compact) manifold is obtained by identifying boundary faces from a polyhedron P. The study of (\partial P)/~, the boundary \partial P with the polygonal faces identified in pairs leads us to the following conclusion: either a three dimensional manifold is homeomorphic to a sphere or to a polyhedron P with its boundary faces identified in pairs so that (\partial P)/~ is a finite number of internally flat complexes attached to each other along the edges of a finite graph that contains at least one closed circuit. Each of those internally flat complexes is obtained from a polygon where each side may be identified with more than one different sides. Moreover, Euler characteristic of (\partial P)/~ is equal to one and the fundamental group of (\partial P)/~ is not trivial. | |
| dc.identifier | https://arxiv.org/abs/math/0511457 | |
| dc.identifier | http://arxiv.org/abs/math/0511457 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/104978 | |
| dc.subject | General Mathematics | |
| dc.subject | 57Q15; 57M40; 57N12 | |
| dc.title | On 3-manifolds | |
| dc.type | text |