Lecture 17

The Classification of Covering Spaces III (Classification Theorem), pp. 67--68

State the Classification Theorem (1.38). Recall the existence and uniqueness theorems from last time (Prop. 1.36 and 1.37). Prove Theorem 1.38. Define the universal cover and say why the name "universal" is justified. Define the group of deck transformations and a normal covering space (p.70-71).