MATH 770 - Introduction to Topology/Geometry I

Credits: 3

This is the first course of a two course sequence including definitions and examples of topological spaces, simplicial complexes, topological and smooth manifolds, quotient spaces, CW complexes, projective spaces and knots. Topological properties including elementary separation, compactness, connectedness. Homotopy, the fundamental group, Covering spaces, Euler characteristics, classification of closed surfaces, differential forms, integration, Stokes’ theorem, de Rham cohomology.

Requisites
Prerequisite: MATH 633.

Typically Offered
Fall

K-State 8
None

KSIS Course Search

Kansas State University

Course Catalog

MATH 770 - Introduction to Topology/Geometry I