Algebraic Topology - Fall Semester 2019
Michel Jambu
Course materials:
Related Materials
ICTP Postgraduate Diploma Programme - Algebraic Topology (video playlist, 2020) by Prof. Pavel Putrov
ICTP Diploma Programme - Topology (video playlist, 2014) by Prof. Bruno Zimmermann
Course Gallery
MTH621 - Algebraic Topology
Course ContentsProblems in Topology, Retraction, Homotopy of maps, Deformation Retraction, Homotopy of Paths, Category Theory, Functors, Co-Functors. The Fundamental Group, The Fundamental Group of a circle, Applications of fundamental group, Free Groups, Siefert-Van Kampen theorem, Computation of Fundamental Group of Different Surfaces, Fundamental Group of a graph, Covering Spaces, Classification of Surfaces, Topological Properties and Fundamental Group, Euler-Poincar’e characteristics of spaces, Homology, Simplicial Complexes, Homological groups.
Books
Algebraic Topology by A. Hatcher.
Algebraic Topology by Edwin h. Spanier.
A basic course in Algebraic Topology by Willian S. Massey.
Algebraic Topology by Manuder.