Fundamental GroupsExplores fundamental groups, homotopy classes, and coverings in connected manifolds.
Local Homeomorphisms and CoveringsCovers the concepts of local homeomorphisms and coverings in manifolds, emphasizing the conditions under which a map is considered a local homeomorphism or a covering.
Mayer-Vietoris SequenceExplores the Mayer-Vietoris sequence, exact homomorphisms, embedded spheres, and path-connected spaces.
Local Rings and ResiduesCovers the proof of theorem 4.2 on multiplicities and the special structure of local rings at a simple point of a plane.
Isomorphism in Aut(p)Explores isomorphism between Aut(p) and a Galois covering through topology course notes.
Homotopical AlgebraCovers the theory of groups and homotopical algebra, emphasizing natural transformations, identities, and isomorphism of categories.