Non-Orientable Surfaces - The Mobius Band - Algebraic Topology

Explore non-orientable surfaces, focusing on the Mobius band, in this sixth lecture of a beginner's Algebraic Topology course. Discover the unique properties of the Mobius band, including its single edge and lack of orientation. Learn about the concept of chirality and how it relates to non-orientable surfaces. Examine the differences between cylinders and Mobius bands, and investigate the fascinating properties of cross caps. Gain insights into the main theorem concerning non-orientable surfaces and construct a physical model of a Mobius band to enhance understanding.

Introduction
Mobius band
One edge
Not orientable
Story
Conveyor belts
Cylinder vs Mobius band
Problem
Two Mobius bands
chirality
drawing Mobius band
cross caps
main theorem
Mobius band model