Excision: An ExampleCovers the concept of excision in algebraic topology with a focus on simplicial and singular homology.
Natural Examples of Simplicial SetsIntroduces two fundamental examples of simplicial sets: the nerve of a small category and the singular simplicial set of a topological space.
Cellular Homology: ApplicationsDelves into applying cellular homology to compute homology groups and Euler characteristic, showcasing its practical implications.
Mayer-Vietoris SequenceExplores the Mayer-Vietoris sequence, exact homomorphisms, embedded spheres, and path-connected spaces.