| Date | Teacher | Place | Topic | Lecture notes / comments |
| 23.08.2010 | John Rognes? | Auditorium 4, V. Bjerknes' hus? | Basic set theory? | Sections 1, 2, 5 and 6? |
| 26.08.2010 | JR? | Aud. 4? | Topological spaces? | Section 12? |
| 30.08.2010 | JR? | Aud. 4? | Bases for topologies? | Sections 13 and 14? |
| 01.09.2010 | Knut Berg? | Room 534, N.H. Abels hus? | Exercises? | Exercises 1.1, 1.4, 1.5, 1.6, 1.8, 1.10, 2.1, 2.2, 2.4, 2.6, 5.1, 5.2, 5.5, 6.1, 6.2, 6.3, 6.6 and 6.7? |
| 02.09.2010 | JR? | Aud. 4? | The product and subspace topologies? | Sections 15 and 16? |
| 06.09.2010 | JR? | Aud. 4? | Closed sets and limit points? | Section 17? |
| 08.09.2010 | KB? | Room 534? | Exercises? | Exercises 13.1, 13.2, 13.3, 13.4, 13.5, 13.8, 16.1, 16.2, 16.3, 16.4, 16.6 and 16.8? |
| 09.09.2010 | JR? | Aud. 4? | Continuous functions? | Sections 18 and 19? |
| 13.09.2010 | JR? | Aud. 4? | The metric topology? | Sections 20 and 21? |
| 15.09.2010 | KB? | Room 534? | Exercises? | Exercises 17.3, 17.4, 17.6, 17.7, 17.8, 17.9, 17.11, 17.12, 17.13, 17.14 (finite complement = cofinite), 17.19 and 17.20? |
| 16.09.2010 | JR? | Aud. 4? | The quotient topology? | Section 22? |
| 20.09.2010 | JR? | Aud. 4? | Connected spaces? | Sections 23 and 24? |
| 22.09.2010 | KB? | Room C313 (in the V. Bjerknes building)? | Exercises? | Exercises 18.2, 18.4, 18.6, 18.9, 18.10, 18.11, 18.12, 18.13, 19.6, 19.7, 19.8, 20.3, 20.4, 20.5 and 20.7 (ignore all references to the box topology).? |
| 23.09.2010 | JR? | Aud. 4? | Components? | Section 25? |
| 27.09.2010 | JR? | Aud. 4? | Compact spaces? | Sections 26 and 27? |
| 29.09.2010 | KB? | Room 534? | Exercises? | Exercises 21.1, 21.2, 21.6, 21.7, 21.8, 21.10, 22.1, 22.2, 22.3, 22.4 and 22.5.? |
| 30.09.2010 | JR? | Aud. 4? | Limit point compactness? | Section 28? |
| 04.10.2010 | JR? | Aud. 4? | Local compactness? | Section 29? |
| 06.10.2010 | KB? | Room 534? | Exercises? | Exercises 23.1, 23.4, 23.5, 23.6, 23.7, 23.8*, 23.11, 24.1, 24.2, 24.3, 24.8 and 24.10.? |
| 07.10.2010 | JR? | Aud. 4? | The countability axioms? | Section 30? |
| 13.10.2010 | KB? | Room C313 (in the V. Bjerknes building) ? | Exercises? | Exercises 25.1, 25.2, 25.4, 25.8, 26.1, 26.2, 26.3, 26.7, 26.8, 27.2 and 27.6.? |
| 18.10.2010 | JR? | Aud. 4? | The separation axioms? | Sections 31 and 32? |
| 20.10.2010 | KB? | Room 534? | Exercises? | Exercises 28.2, 28.6, 28.7, 29.1, 29.2, 29.5, 29.6, 29.8 and 29.11*.? |
| 21.10.2010 | JR? | Aud. 4? | Urysohn's lemma? | Section 33? |
| 25.10.2010 | JR? | Aud. 4? | Urysohn's metrization theorem? | Section 34? |
| 27.10.2010 | KB? | Room 534? | Exercises? | Exercises 30.2, 30.4, 30.12, 30.13, 31.1, 31.2, 31.4, 31.5, 31.6, 32.1 and 32.3.? |
| 28.10.2010 | JR? | Aud. 4? | Tychonoff's theorem? | Section 37? |
| 01.11.2010 | JR? | Aud. 4? | Compactness in metric spaces? | Section 45? |
| 03.11.2010 | KB? | Room 534? | Exercises? | Exercises 33.1 (with p,q dyadic), 33.3, 33.7, 33.8, 34.3, 34.4 and 34.5. Prove (using Tychonoff's theorem) that a closed subspace of any product of finite topological spaces is compact.? |
| 04.11.2010 | JR? | Aud. 4? | Pointwise and uniform convergence? | Section 46? |
| 04.11.2010 | ? | ? | ? | Deadline at 14:30 for submission of the mandatory assignment (double-check at the official page )? |
| 08.11.2010 | JR? | Aud. 4? | Compact convergence? | Section 46? |
| 10.11.2010 | KB? | Room 534? | Exercises? | Exercises 45.1, 45.7*, 46.1, 46.3, 46.4 and 46.7. MAT3500/4500 exam autumn 2009, problems 1, 2, 3 and 4.? |
| 11.11.2010 | JR? | Aud. 4? | Homotopy of paths? | Section 51? |
| 15.11.2010 | JR? | Aud. 4? | The fundamental group? | Section 52? |
| 18.11.2010 | ? | ? | ? | Deadline at 14:30 for second and final submission of the mandatory assignment.? |
| 18.11.2010 | JR? | Aud. 4? | Covering spaces? | Section 53? |
| 22.11.2010 | JR? | Aud. 4? | The fundamental group of the circle? | Section 54? |
| 24.11.2010 | KB? | Room 534? | Exercises? | Exercises 51.1, 51.2, 51.3, 52.1, 52.4, 52.5 and 52.7. MAT3500/4500 exam autumn 2008, problems 1, 2, 5 and 6. ? |
| 25.11.2010 | JR? | Aud. 4? | Retractions and fixed points? | Section 55? |
| 29.11.2010 | JR? | Aud. 4? | Deformation retracts and homotopy type / Fundamental groups of some surfaces? | Sections 58 and 60? |
| 01.12.2010 | KB? | Room 534? | Exercises? | Exercises 53.1, 53.2, 53.5, 53.6, 54.1, 54.3, 54.5, 54.6 and 54.7.MAT3500/4500 exam autumn 2007 problems 1, 2, 4 and 5.? |
| 06.12.2010 | JR? | Aud. 4 from 15.00 to 16.00? | Question session? | Questions about the course material will be attempted answered.? |
| 08.12.2010 | KB? | Room 534? | Exercises? | Exercises 55.2, 58.1, 58.2, 60.2, 60.5.MAT3500/4500 exams autumn 2005 problems 2 and 4, autumn 2008 problems 3 and 4, and autumn 2009 problem 5.? |
| 13.12.2010 | JR? | Aud. 4 from 14.15 to 16.00? | Question session? | Questions about the course material will be attempted answered.? |
| 17.12.2010 | ? | ? | ? | Final written examination at 14:30 (4 hours) (double-check at official page )? |
Teaching plan
Published June 3, 2010 10:58 AM
- Last modified Oct. 7, 2011 5:18 PM