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Related lectures (28)

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Explores mapping functions, surjections, injective and surjective functions, and bijective functions.

Explores the composition of applications in mathematics and the importance of understanding their properties.

Covers the generalities of functions, including the definition of an application between sets and the uniqueness of elements in the image set.

Provides a recap of group theory, defining a group as a set with a multiplication operation.

Covers the Chinese remainder theorem for commutative rings and integers, polynomial rings, and Euclidean domains.

Covers the concepts of ideals, principal ideal domains, and ring homomorphisms.

Covers simplicial and cosimplicial objects in category theory with practical examples.

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

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

Explores quotients of groups by equivalence relations and the conditions for well-defined sets.