MMA100 V22 Topologi
Welcome to the course of Topology!
This page contains the program of the course. Below are the weekly plan for lectures and exercise sessions (to be continuously updated). Here Plan.pdf you can find an outline of what will be covered in the course.
Other information, such as learning outcomes, teachers, literature and examination, are in a separate course PM.
All lectures and exercise sessions will be held on campus.
Schedule: lectures - Tuesday and Wednesday at 15.15, MVF31
exercise sessions - Friday at 13.15, MVF26.
Weekly plan for lectures
| Week 1 | Lecture Tuesday |
Brief overview. Sections 12 and 13.
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| Lecture Wednesday |
Sections 15, 16.
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| Week 2 | Lecture 1 |
Sections 17, 18. |
| Lecture 2 |
Sections 19, 20. |
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| Week 3 | Lecture 1 |
Section 23 and a part of 24 |
| Lecture 2 |
Section 24 (the rest of), a part of section 25 (if time permits), and a part of 26. |
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| Week 4 | Lecture 1 |
The rest of section 26; section 27, 28. |
| Lecture 2 |
Sections 43, 44. |
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| Week 5 | Lecture 1 |
(Parts of) sections 30, 31, 32. Section 33. |
| Lecture 2 |
Sections 34, 35 and a part of section 20 needed for Urysohn metrization theorem. |
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| Week 6 | Lecture 1 |
Sections 51, 52 |
| Lecture 2 |
a proof that sphere is simply connected (different from the one in the book), a part of section 54, section 55, and a part of 58 if time permits |
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| Week 7 | Lecture 1 |
a part of section 55 (more about retracts), a part of section 58 (about homotopy equivalence), section 22 |
| Lecture 2 |
examples of surfaces (from section 60); classification of surfaces ( parts of sections 74, 76, 77) will be started and continued on Tuesday |
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| Week 8 | Lecture | Classification of surfaces. Discussion of solutions for exam for 2021.exam2021.pdf |
Recommended exercises
| Week 1 |
Ch. 2 Section 13: 1, 3, 4, 7 (excluding R_K), 8. Section 16: 2, 3, 4, 5.
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| Week 2 |
Recommended exercises are here ExercisesWeek2.pdf |
| Week 3 | |
| Week 4 | |
| Week 5 | |
| Week 6 | |
| Week 7 |
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