The course gives an introduction to algebraic topology, with emphasis on the fundamental group and the singular homology groups of topological spaces. you can work with cell complexes and the basic ...
Algebraic topology is a branch of mathematics that uses algebraic structures to study topological spaces. It provides powerful tools for analyzing the shape and structure of geometric objects.
The course builds on MAT4520 – Manifolds and MAT4530 – Algebraic Topology I. The content will vary, but can include singular cohomology and homotopy theory. PhD candidates from the Faculty of ...
3-manifold topology and combinatorial topology of surfaces. Connections with algebraic geometry include the study of algebraic cycles by methods derived from number theory and analysis, as well as ...