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Course Information

Course Name
English Topology
Course Code
MAT 605E Credit Lecture
Semester -
3 - - -
Course Language English
Course Coordinator İbrahim Kırat
Course Objectives 1. To teach some of the high-level 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 Compact-Open Topology, Ascoli’s Theorem, Baire Spaces.
Course Outcomes
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