Motivations for Studying Actions: Universal Action of Bijections

Explores concrete examples of group actions on sets, focusing on actions that do not change the set.

Covers the basics of group theory, including sets, applications, and examples like permutations and rotations.

Covers the bar construction method, homology groups, classifying space, and the Hopf formula.

Covers proper actions of groups on Riemann surfaces and introduces algebraic curves via square roots.