Academic Catalog

MATH420 POINT-SET TOPOLOGY

Course Code:	2360420
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:	Lecturer Dr. MUHÝDDÝN UÐUZ
Offered Semester:	Fall Semesters.
Prerequisite:	Set 1: 2360111 , 2360214 Set 2: 2360111 , 2360251
One of the sets above should be completed before taking MATH420 POINT-SET TOPOLOGY.

Course Content

Topological Spaces; basis. subbasis. subspaces. Closed sets. limit points. Hausdorff Spaces. Continuous functions. homeomorphisms. Product topology. Connected spaces. compo-nents. path connectedness. path components. Compactness. sequential compactness. compactness in metric spaces. Definition of regular and normal spaces. Urysohn`s Lemma. Tietsze Extension Theorem.