Academic Catalog

MATH422 ELEMENTARY GEOMETRIC TOPOLOGY

Course Code:	2360422
METU Credit (Theoretical-Laboratory hours/week):	3(3-0)
ECTS Credit:	6.0
Department:	Mathematics
Language of Instruction:	English
Level of Study:	Undergraduate
Course Coordinator:	Prof.Dr. YILDIRAY OZAN
Offered Semester:	Fall Semesters.
Prerequisite:	Set 1: 2360251 Set 2: 2360214
One of the sets above should be completed before taking MATH422 ELEMENTARY GEOMETRIC TOPOLOGY.

Course Content

Topology of subsets of Euclidean space. Topological surfaces. Surfaces in Rn. Surfaces via gluing, connected sum and the classification of compact connected surfaces. Simplicial complexes and simplicial surfaces (simplicial complexes with underlying spaces that are topological surfaces). Euler characteristic.