The development of the Four-Color Theorem from a mathematical perspective requires rigorous definitions of its concepts. To organize these ideas is not a simple task, and it requires a certain amount of effort. Inevitably, this will lead to some very abstract thinking. However, initially, we shall be guided by our intuition. Out of this intuition, geometric-topological objects called maps will be realized. Although the fundamental ideas arise in a set-theoretic topological setting, the Four-Color Theorem itself is of a combinatorial nature.
KeywordsLine Segment Interior Point Jordan Curve Exterior Domain Neutral Point
Unable to display preview. Download preview PDF.