Courses

Basics of Topology and Metric Spaces. Locally compact spaces. Locally connected spaces. Peano continuum. Definitions of topological dimension. The concept of a curve in Topology. Convex subsets and cells of ℝn. Points in general position and centroidal coordinates of points of ℝn. Monoplexes of dimension n. Monoplex subdivision of a monoplex. Mappings between monoplexes. Sperner's lemma and Brouwer's fixed point theorem. Complexes and polyhedra. Euler's characteristic.