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Lecturer(s)
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Tomeček Jan, doc. RNDr. Ph.D.
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Course content
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1. Axiom of choice 2. Topological spaces 3. Continuous functions 4. Connectedness 5. Compactness 6. Countability 7. Separation axioms 8. The Tychonoff theorem 9. Metrizable spaces 10. Paracompactness 11. Complete metric spaces 12. Function spaces 13. Baire spaces
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Learning activities and teaching methods
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Dialogic Lecture (Discussion, Dialog, Brainstorming), Work with Text (with Book, Textbook)
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Learning outcomes
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Master methods and tools of general topology.
Comprehension Understand the theory of topological spaces.
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Prerequisites
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Master's degree in mathematics.
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Assessment methods and criteria
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Oral exam
Exam: to know and to understand the subjekt
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Recommended literature
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Engelking, R. (1989). General Topology. Heldermann Verlag, Berlin.
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Fabian, M., Habala, P., Hájek, P., Santalucía, V. M., Pelant, J., Zizler, V. (2001). Functional Analysis and Infinite-Dimensional Geometry. Springer, New York.
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Munkres J.R. (2000). Topology. 2nd Ed., Prentice-Hall.
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