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MAT 355
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Course Information
Course Name
Turkish
Topolojiye Giriş
English
Intro. Topology
Course Code
MAT 355
Credit
Lecture
(hour/week)
Recitation
(hour/week)
Laboratory
(hour/week)
Semester
-
3
3
-
-
Course Language
Turkish
Course Coordinator
Fuat Ergezen
Course Objectives
1 - To make the generalizations of some topics - from analysis,
2 - To teach connection between topological spaces and metric spaces,
3 - To teach fundamental topics in topological spaces.
Course Description
Metric spaces. Topological spaces. Neighborhood and some concepts of topology. Limit, interior and boundary points. The notion of convergence. Continuous functions . Product and quotient spaces. Lindelof, first and second countable spaces. Seperable spaces. Separation axioms. T_0 , T_1 and Hausdorff spaces. Regular and normal spaces. Urysohn s and Tietze s theorems. Compact spaces. Connected spaces. Topological groups. Theorems of metrization.
Course Outcomes
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