Overview
Description
Topological structures, uniform spaces, metric spaces, compact and locally compact spaces, connectivity, function spaces, topological algebra, elementary homological algebra, singular homology theory, cell complexes, homotopy groups.
Units
Lecture3
Catalog Details
Offering
Offered: Every Fall - Even Years
Terms
fall
Attributes
Standard
Learning Outcomes
- compute the homology of a space defined by a simplicial complex.
- use homotopy groups or homology groups to demonstrate that spaces are not homeomorphic to one another.
- apply homological algebraic arguments to prove results about continuous maps between spaces.