Can I read Proof of Jordan Curve Theorem on EtoBox?
Proof of Jordan Curve Theorem by Alfonso Hernández is a document available to read on EtoBox.
What is Proof of Jordan Curve Theorem about?
The document presents a proof of the Jordan Curve Theorem using the Brouwer Fixed Point Theorem, establishing that the complement of a Jordan curve in the plane has exactly one bounded component. It outlines the necessary lemmas and constructs continuous paths to demonstrate the contradiction that arises if more than one bounded component were to exist. The proof is structured in three main steps, ultimately confirming the theorem
- Author
- Alfonso Hernández
- Language
- EN