Results for “Topology”

Four Color Theorem

The four color theorem states that any map can be colored using no more than four colors such that adjacent regions with a shared boundary (not just a point) have different colors.

Jordans Theorem

Jordan's Curve Theorem states that a simple closed curve in the plane divides it into two distinct regions: an "interior" and an "exterior," both of which are connected and separated by the curve.

Category Theory

Category theory is a unifying mathematical framework that studies structures and relationships through abstract concepts like categories, functors, and natural transformations.

Topology

Topology is the branch of mathematics that studies properties of space preserved under continuous deformations, such as connectivity and continuity, without tearing or gluing.

Cantor's Theorem