Sumários
Aula 2
24 Setembro 2026, 13:30 • Marko Stosic
Fundamental group of a topological space.
Definition (loops in X based at the basepoint, modulo homotopy), group operation -- concatenation.
Independence of basepoint for path connected spaces.
Examples: n-dimensional disks, n-dimensional spheres, convex spaces, contractible spaces, real projective spaces
Aula 1
17 Setembro 2026, 13:30 • Marko Stosic
Introduction to the course.
Basic review of topological spaces and continuous maps between.
Quotient spaces.
Homotopic maps, and homotopic topological spaces.