The Klein bottle

Related lectures (30)

Page 3 of 3

Explores two definitions of group action and their equivalence through bijection in group homomorphisms.

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

Explores simplicial and singular homology, reduced homology groups, and their connection to the fundamental group.

Explores chain complexes, abelian groups, homomorphisms, homology groups, and free abelian groups.

Discusses the theory of free groups, their properties, and relationships with other algebraic structures.

Covers the calculation of the fundamental group of a product using small spaces and compositions.

Covers relative homotopy groups, establishing long exact sequences and defining boundary homomorphisms.

Covers homotopies, fundamental group, and equivalence relations in applications.

Explores the Seifert-van Kampen theorem, focusing on group pushouts and well-bridged groups.

Covers the cup product on cohomology, acyclic models, and the universal coefficient theorem.