On three dimensional stellar manifolds
| dc.creator | Nikitin, Sergey | |
| dc.date | 2005-11-23 | |
| dc.date | 2005-12-15 | |
| dc.date.accessioned | 2026-07-07T06:51:37Z | |
| dc.date.available | 2026-07-07T06:51:37Z | |
| dc.description | It is well known that a three dimensional (closed, connected and compact) manifold is obtained by identifying boundary faces from a stellar ball a*S. The study of S/~, two dimensional stellar sphere S with 2-simplexes identified in pairs leads us to the following conclusion: either a three dimensional manifold is homeomorphic to a sphere or to a stellar ball a*S with its boundary 2-simplexes identified in pairs so that S/~ is a finite number of internally flat complexes attached to 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 one or more different other sides. Moreover, Euler characteristic of S/~ is equal to one and the fundamental group of S/~ is not trivial. | |
| dc.identifier | https://arxiv.org/abs/math/0511572 | |
| dc.identifier | http://arxiv.org/abs/math/0511572 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/105050 | |
| dc.subject | General Mathematics | |
| dc.subject | 57Q15, 57M40, 57N12 | |
| dc.title | On three dimensional stellar manifolds | |
| dc.type | text |