Aug 04, 2020  
2019-2020 Catalog 
2019-2020 Catalog

MATH147 HM - Topology

Credit(s): 3

Instructor(s): Karp, Pippenger, Su, Staff (Pomona)

Offered: Jointly with Pomona; Spring semester

Description: Topology is the study of properties of objects pre­served by continuous deformations (much like geometry is the study of properties preserved by rigid motions). Hence, topology is sometimes called “rubber-sheet” geometry. This course is an introduction to point-set topology with additional topics chosen from geometric and algebraic topology. It will cover topological spaces, metric spaces, product spaces, quotient spaces, Hausdorff spaces, compactness, connectedness, and path connectedness. Additional topics will be chosen from metrization theorems, fundamental groups, homotopy of maps, covering spaces, the Jordan curve theorem, classification of surfaces, and simplicial homology.

Prerequisite(s): MATH131 HM