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: Assoc.Prof.Dr. MEHMET FIRAT ARIKAN
Offered Semester: Fall Semesters.
Prerequisite: Set 1: 2360251
Set 2: 2360271
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.