Topic: Covering Spaces

Worked Path Lifting and Endpoint Calculations

Worked Applications of the Lifting Criterion

Why Every Lift Satisfies the Subgroup Criterion

Uniqueness of Path Lifts

Uniqueness of Lifts of Maps

The Path Lifting Theorem

The Homotopy Lifting Property

The Fundamental Group Criterion for Lifting Maps

The Fundamental Group Action on a Fiber

Standard Coverings of the Circle and Torus