MAT355E
Topology
2020-2021 Spring Semester
Course Syllabus
Instructor: Ali Sait Demir
Textbook: J.R. Munkres, Topology, Second Edition, 2014,
Pearson.
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WEEK |
TOPICS |
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Functions and Relations, Metric
Spaces |
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Metric Spaces |
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Topological Spaces Basic Concepts of
Topology |
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Topological Spaces Basic Concepts of
Topology |
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Topological Spaces Basic Concepts of
Topology |
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Subspace Topology, Product and
Quotient Spaces |
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Limit, Interior and Boundary Points,
Notion of Convergence |
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Limit, Interior and Boundary Points,
Notion of Convergence |
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Continuous Functions and
Homeomorphisms |
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Compact Spaces / Connected Spaces |
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Compact Spaces / Connected Spaces |
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Separation Axioms, T0, T1
and Hausdorff (T2), Regular and Normal Spaces |
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3 Quizzes (30 %) +1Project (10%)+ 1 MidTerm
Exam (30%)+ Final Exam (30%). Students failing to
score at least 35% (i.e. 24.5 out of 70) from the in-term assesments, are not
admitted to the final exam and get VF.
*: We
will use ayva.itu.edu.tr for these assesments **:
The page numbers refer to Lecture Notes available here |