MATE-4421 Algebraic Topology

Introduce the basic concepts of algebraic topology, and the classical algebraic tools used in the calculation of topological invariants of spaces simplicials. Content: Variety topological. Homotopy group fundamental properties. Building simplicials, homology, Ulama-Borsuk theorem, fixed point theorem Lefschetz, Cohomology, Poincare duality. Theory of beams, Prebeams, Resolutions. Fiber vector.