Ementa
Homotopia: grupo fundamental e espaços de recobrimento. Homologia: complexo de cadeias, homologia singular, sequências exatas em homologia, excisão e Mayer Vietoris, Teorema de Hurewicz.
Notas de Aula
Introdução à Topologia Algébrica
Listas
- Lista 1
- Lista 2
Bibliografia
Grupo Fundamental
- Bredon G. E., Topology and Geometry, Springer, 1993.
- Hatcher A., Algebraic Topology, Cambridge University Press, 2002.
- Lima E. L., Grupo Fundamental e Espaços de Recobrimento, 2a. edição, IMPA, 1999.
Homologia
- Hatcher A., Algebraic Topology, Cambridge University Press, 2002.
- Gallier, Jean H.; Quaintance, Jocelyn. Homology, Cohomology, And Sheaf Cohomology For Algebraic Topology, Algebraic Geometry, And Differential Geometry. World Scientific, 2022.
- Vick J. W., Homology Theory: An Introduction to Algebraic Topology (Graduate Texts in Mathematics), Springer, 2nd ed, 1994.
- Rotman J. J., An Introduction to Algebraic Topology (Graduate Texts in Mathematics), Springer, 1988.
- Massey W. S., A basic course in algebraic topology, Springer, 1991.
- Bredon G. E., Topology and Geometry, Springer, 1993.