Lattices in R^2 and finite subsets of a circle
| dc.creator | Mostovoy, Jacob | |
| dc.date | 1999-11-27 | |
| dc.date | 1999-12-09 | |
| dc.date.accessioned | 2026-07-07T05:31:58Z | |
| dc.date.available | 2026-07-07T05:31:58Z | |
| dc.description | An elementary geometric construction is used to relate the space of lattices in a plane to the space exp_3(S^1) of the subsets of a circle of cardinality at most 3. As a consequence we obtain new proofs of a theorem of Bott which says that exp_3(S^1) is homeomorphic to a 3-sphere and a theorem of Shchepin which says that points of exp_3(S^1) that correspond to one-point subsets form a trefoil knot in this 3-sphere. | |
| dc.description | 2 pages, 1 figure; a minor error corrected | |
| dc.identifier | https://arxiv.org/abs/math/9911224 | |
| dc.identifier | http://arxiv.org/abs/math/9911224 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/79496 | |
| dc.subject | Geometric Topology | |
| dc.subject | General Topology | |
| dc.subject | 11H06; 54B20; 57M25 | |
| dc.title | Lattices in R^2 and finite subsets of a circle | |
| dc.type | text |