Topologia Algébrica

Ementa

Homologia: Homologia simplicial; homologia singular; CW-complexos e homologia celular; sequências exatas e homologia reduzida. Cohomologia e dualidade de Poincaré. Teorema dos coeficientes universais; Produtos; Teorema de Hurewicz. Teorema de Whitehead.

Notas de Aula

Topologia Algébrica

Listas

• Lista 1
• Lista 2
• Lista 3
• Lista 4

Bibliografia

• Topologia Algébrica – Dahisy Valadão e Daniel Miranda
• 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.
• MUNKRES J. R., Elements Of Algebraic Topology, Westview Press, 1996.
• PRASOLOV, V. V.. Elements of homology theory. American Mathematical Soc., 2007.
• KAMMEYER, H. Introduction to Algebraic Topology. Springer Nature, 2022