Lecture 19

Deck Transformations and Group Actions II, p. 72--74

Define the orbit space of an action Y/G as in paragraph 3 of page 72. State and prove Proposition 1.40. Define a covering space action, a fixed point and a free action. Discusss Example 1.41 and the paragraph after this example (that for a simply connected locally path-connected space Y, the orbit space Y/G has fundamental group isomorphic to G.