University Maths Notes

University Maths Notes: Topology

Orientable and Non – Orientable Surfaces – An Introduction	The Euler Characteristic
Homeomorphisms	The Four Colour Mapping Theorem
Connected Spaces	The Definition of a Topological Space
Path Connectedness	Hausdorff Spaces
Triangulation of Surfaces	The Classification Theory for Surfaces
The Difference Between Connectedness and Path Connectedness	The Basis for a Topology