Topologically Fragmental Space and the Proof of Hadwiger's Conjecture
| dc.creator | Zexin, Cao | |
| dc.date | 2003-11-26 | |
| dc.date | 2005-04-04 | |
| dc.date.accessioned | 2026-07-07T05:03:18Z | |
| dc.date.available | 2026-07-07T05:03:18Z | |
| dc.description | A topological space is introduced in this paper. Just liking the plane, it's continuous, however its $n+1$ regions couldn't be mutually adjacent. Some important phenomenon about its cross-section are discussed. The geometric generating element of the coloring region-map is also an important concept. Every $n$-coloring region map is in the cross-section set of an $n$-color geometric generating element. The proof of four color theorem and Hadwiger's conjecture is obtained by researching them and their cross-sections. And we can see in the context, that those conjectures are not of graph theory, but such topological space. | |
| dc.description | 7 figures | |
| dc.identifier | https://arxiv.org/abs/math/0311475 | |
| dc.identifier | http://arxiv.org/abs/math/0311475 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/69359 | |
| dc.subject | General Mathematics | |
| dc.subject | 54C05 (Primary) 05C62; 05C15; 52A20 (Secondary) | |
| dc.title | Topologically Fragmental Space and the Proof of Hadwiger's Conjecture | |
| dc.type | text |