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MAT 605E
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Course Information
Course Name
Turkish
TOPOLOJİ
English
Topology
Course Code
MAT 605E
Credit
Lecture
(hour/week)
Recitation
(hour/week)
Laboratory
(hour/week)
Semester

3



Course Language
English
Course Coordinator
İbrahim Kırat
Course Objectives
1. To teach some of the highlevel topics of Topology,
2. To form the necessary background for the graduate students who wish to do research on Topology.
Course Description
Topological Spaces and Continuous Functions: Basis for a Topology, The Product Topology, The Metric Topology, The Quotient Topology.
Connectedness and Compactness: Components and Path Components, Local Connectedness, Compact Spaces, Local Compactness.
Countability and Separation Axioms, The Urysohn Metrization Theorem, The Tychonoff Theorem Metrization Theorems and Paracompactness: The Smirnov Metrization Theorem.
Complete Metric Spaces and Function Spaces: The CompactOpen Topology, Ascoli’s Theorem, Baire Spaces.
Course Outcomes
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