Last modified by mkankaan@helsinki_fi on 2024/03/27 10:26
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1 = Algebraic topology II, spring 2016 =
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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: CW-complexes, cellular homology, universal coefficients, cohomology, applications.**
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16 **Prerequisites: Introduction to Algebraic Topology (Fall 2015) or equivalent.**
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19 === {{toc maxLevel="4" minLevel="2" indent="20px"/}} ===
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21 == News ==
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23 (% style="line-height: 1.4285715;" %) Torstaina 21.4. ei ole luentoa. Sen sijaan perjantaina 22.4. on luento klo 12 - 14 salissa B322.
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25 (% style="line-height: 1.4285715;" %) Tiistaina 19.4. ei ole luentoa, koska silloin on matematiikan laitoksen virkistyspäivä.
26
27 == Teaching schedule ==
28
29 Weeks 3-9 and 11-18, Tuesday 14-16 in room B321 and Thursday 14-16 in room C122. In addition, two hours of exercise classes per week.
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31 Easter Holiday 24.-30.3.
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33 == Exams ==
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35 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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37 == Course material ==
38
39 The following books may be of some help:
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41 1. Joseph J. Rotman: An Introduction to Algebraic Topology, Springer
42 1. Marvin J. Greenberg and John R. Harper: Algebraic Topology, A First Course, Addison-Wesley Publishing Company
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44 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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46 Lecture notes:
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48 [[attach:Alg.top.2.2016.1.pdf]]
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50 [[attach:Alg.top.2.2016.2.pdf]]
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52 [[attach:Alg.top.2.2016.3.pdf]]
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54 [[attach:Alg.top.2.2016.4.pdf]]
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56 [[attach:Alg.top.2.2016.5.pdf]]
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58 [[attach:Alg.top.2.2016.6.pdf]]
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60 [[attach:Alg.top.2.2016.7.pdf]]
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62 [[attach:Alg.top.2.2016.8.pdf]]
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64 [[attach:Algtop2.2016.9.pdf]]
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66 [[attach:Alg.top.2.2016.10.pdf]]
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68 [[attach:Alg.top.2.2016.11.pdf]]
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70 [[attach:Alg.top.2.2016.12.pdf]]
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72 [[attach:Alg.top.2.2016.13.pdf]]
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74 [[attach:Alg.top.2.2016.14.pdf]]
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76
77
78 == [[Registration>>url:https://oodi-www.it.helsinki.fi/hy/opintjakstied.jsp?html=1&Tunniste=57271||shape="rect"]] ==
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80 (% 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"]]
81
82 == Exercises ==
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84 === Assignments ===
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86 * (% style="font-size: 16.0px;font-weight: bold;" %)Exercise classes
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88 (% class="wrapped" %)
89 |=(((
90 Group
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92 Day
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94 Time
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96 Room
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98 Instructor
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101 1.
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103 Wednesday
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105 12-14
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107 C122
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109 Marja Kankaanrinta
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111
112 == Course feedback ==
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114 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"]].