Fundamental Group And Covering Spaces

Homotopy. Fundamental Group. Examples And Applications: The Fundamental Group Of The Circle, Projective Spaces, Classical Groups. Theorem Of Seifert And Van Kampen. Covering Spaces. Coverings And Fundamental Group. Universal Cover. Fundamental Group Of Compact Surfaces. Oriented Double Cover. Other Topics.

Referências:
FULTON, W. – Algebraic topology, Springer, 1999.
LIMA, E. L. – Grupo Fundamental e Espaços de Recobrimento. Projeto Euclides. Rio de Janeiro, IMPA, 2006.
MASSEY, W. S. – A Basic Course in Algebraic Topology, Graduate Texts in Mathematics, Springer-Verlag, 1991.

 

* Standard program. The teacher has the autonomy to make any changes.