Lectures related to Equinumerosity

Introduction to Functions

Covers the basics of functions, including domain, codomain, image, and range, as well as injections, surjections, and bijections.

Linear Algebra: Bijections and Cardinality

Explores bijections in linear algebra and the concept of cardinality between sets.

Linear Algebra: Properties of Injective and Surjective Functions

Covers the properties of injective and surjective functions and the concept of bijections.

Function Composition

Covers the concept of function composition and the properties of bijections when composing functions.

Powers and Multiples: Subgroups and Stabilizers

Covers powers, multiples, subgroups, and stabilizers in group theory.

Group Actions: Quotients and Homomorphisms

Discusses group actions, quotients, and homomorphisms, emphasizing practical implications for various groups and the construction of complex projective spaces.

Group Theory: Torsion and Divisibility

Covers the concepts of torsion and divisibility in group theory.