Last modified by mkankaan@helsinki_fi on 2024/03/27 10:47
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1 = Introduction to algebraic topology, fall 2015 =
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6 **Teacher:** Marja Kankaanrinta -
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8 **Scope:** 10 cr
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10 **Type:** Advanced studies
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12 **Teaching:**
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14 **Topics: The fundamental group, singular homology, long exact sequences, excision**
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16 **Prerequisites: Topology II, any introductory course in undergraduate algebra**
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19 === {{toc maxLevel="4" minLevel="2" indent="20px"/}} ===
20
21 == News ==
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23 * The first meeting will be on Tuesday Sept. 1. The first exercise class will meet on Wednesday Sept. 9.
24 * The instructor is on sick leave on Dec 7 - Dec 9. The class on Dec 8 and the exercise session on Dec 9 will be canceled.
25 We will have the last exercise session on Thursday Dec 10 (starting a 10.15) instead of a regular lecture.
26
27 == Teaching schedule ==
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29 Weeks 36-42 and 44-50, Tuesday and Thursday from 10-12 in room B322. In additon, two hours of exercise classes per week.
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31 == Exams ==
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33 One can pass the class by attending lectures and doing homework exercises. Alternatively, one can pass the class by taking an exam.
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35 It is possible to take the exam on January 28, 2016.
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38
39 == Course material ==
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41 The following books may be of some help:
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43 1. Joseph J. Rotman: An Introduction to Algebraic Topology, Springer
44 1. Marvin J. Greenberg and John R. Harper: Algebraic Topology, A First Course, Addison-Wesley Publishing Company
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46 Notice that Allen Hatcher's Algebraic Topology is available online. Here is a link: [[http:~~/~~/www.math.cornell.edu/~~~~hatcher/AT/ATpage.html>>url:http://www.math.cornell.edu/~~hatcher/AT/ATpage.html||shape="rect"]]
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48 Lecture notes:
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50 1. [[attach:Alg.top.2015.1.pdf]]
51 1. [[attach:Alg.top.2015.2.pdf]]
52 1. [[attach:Alg.top.2015.3.pdf]]
53 1. [[attach:Alg.top.2015.4.pdf]]
54 1. [[attach:Alg.Top.2015.5.pdf]]
55 1. [[attach:Alg.top.2015.6.pdf]]
56 1. [[attach:Alg.top.2015.7.pdf]]
57 1. [[attach:Alg.top.2015.8.pdf]]
58 1. [[attach:Alg.top.2015.9.pdf]]
59 1. [[attach:Alg.top.2015.10.pdf]]
60 1. [[attach:Alg.top.2015.11.pdf]]
61 1. [[attach:Alg.top.2015.12.pdf]]
62 1. [[attach:Alg.top.2015.13.pdf]]
63
64 == [[Registration>>url:https://oodi-www.it.helsinki.fi/hy/opintjakstied.jsp?html=1&Tunniste=57240||shape="rect"]] ==
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67 (% style="color: rgb(96,96,96);" %)Did you forget to register? (%%)[[What to do?>>url:https://wiki.helsinki.fi/display/mathstatOpiskelu/Kysymys4||style="text-decoration: underline;" shape="rect"]]
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69 == Exercises ==
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71 === Assignments ===
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73 * (% style="font-size: 16.0px;font-weight: bold;" %)Exercise classes
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75 (% class="wrapped" %)
76 |=(((
77 Group
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79 Day
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81 Time
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83 Room
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85 Instructor
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87 |(((
88 1.
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90 Wednesday
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92 10-12
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94 B322
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96 Marja Kankaanrinta
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98
99 == Course feedback ==
100
101 Course feedback can be given at any point during the course. Click [[here>>url:https://elomake.helsinki.fi/lomakkeet/11954/lomake.html||style="line-height: 1.4285;" shape="rect"]].