Topologically Fragmental Space and the Proof of Hadwiger's Conjecture

Details Topologically Fragmental Space and the Proof of Hadwiger's Conjecture Topologically Fragmental Space and the Proof of Hadwiger's Conjecture

2003-11-26

arxiv.org/abs/math/0311475v3

Mathematics

General Mathematics

7 figures

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

Topologically Fragmental Space and the Proof of Hadwiger's Conjecture does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Topologically Fragmental Space and the Proof of Hadwiger's Conjecture, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Topologically Fragmental Space and the Proof of Hadwiger's Conjecture will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-122563