拓扑学四色定理的证明
Proof of the Four Color Theorem of Topology
DOI: 10.12677/HANSPrePrints.2020.51014, PDF, 下载: 645  浏览: 1,361 
作者: 张朝胜:淮安市高良涧小学,淮安市洪泽区,中国
关键词: 四色定理几何公理空间连续性Four Color Theorem Geometric Axiom Spatial Continuity
摘要: 探索四色定理的证明方法和点、线、面、体的连续性,属于拓扑学和几何学领域,给出四色定理的证明过程,给出新的几何公理并证明空间的连续性。以点分隔法证明二色定理,以点分隔法和穷举法证明三色定理。以点分隔法、线分隔法、穷举法证明四色定理。
Abstract: To explore the proof method of the four-color theorem and the continuity of points, lines, surfaces and bodies, belong to the field of topology and geometry and give the proof process of four-color theorem, give new geometric axioms and prove the continuity of space. The dichroic theorem is proved by point partition method, and the trichromatic theorem is proved by point partition method and exhaustive method. The four-color theorem is proved by point separation, line separation and enumeration.
文章引用:张朝胜. 拓扑学四色定理的证明[J]. 汉斯预印本, 2020, 5(1): 1-5. https://doi.org/10.12677/HANSPrePrints.2020.51014