Concept

Glossary of algebraic topology

Related lectures (4)

Covers the computation of nerves and geometric realization in simplicial sets, along with functors into and out of the category of simplicial sets.

Explores the construction of cylinder objects in chain complexes over a field, focusing on left homotopy and interval chain complexes.

Covers the concept of excision in algebraic topology with a focus on simplicial and singular homology.

Explores homotopy invariance and its application to homology groups of quotients, showcasing isomorphism and chain homotopy.