Separation Conditions: Graph and Saturations

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

Explores the properties of the quotient space X/G when X is compact and sometimes separated.

Discusses open subsets, compact sets, and methods for demonstrating openness in a space.

Explores harmonic forms on Riemann surfaces and the uniqueness of solutions to harmonic equations.

Explores the construction and properties of CW complexes, focusing on characteristic maps, closed subsets, products, quotients, and cell formation.