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Related lectures (10)

Abélianization: Fundamental Groups

Explores abélianization of fundamental groups in commutative spaces with examples and proofs.

Group Theory: Special Cases

Covers special cases in group theory, focusing on group actions and functors.

Trivial Group: Properties and Notation

Covers properties and notation of the trivial group and discusses the uniqueness of elements.

Abelianization of Fundamental Group

Explores abelianization examples, homomorphisms, and isomorphisms in group theory.

Galois Theory: Recap and Transitivity

Covers the recap of Galois theory and emphasizes the transitivity of Galois groups.

EML Spaces and Cohomology

Covers spaces, homology, chain groups, and abelianization in CW complexes and maps.

Quantum Physics I

Covers commutators, observables, uncertainty principle, displacement operator, Cauchy-Schwarz inequality, and transforming operators.

Quantum Physics I

Introduces key quantum physics concepts such as commutators, observables, and the Schrödinger equation, emphasizing the importance of diagonalization and energy eigenvalues.

Mayer-Vietoris Sequence

Explores the Mayer-Vietoris sequence, exact homomorphisms, embedded spheres, and path-connected spaces.

Topology: Classification of Surfaces and Fundamental Groups

Discusses the classification of surfaces and their fundamental groups using the Seifert-van Kampen theorem and polygonal presentations.

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