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Introduction to algebraic topology, fall 2015

 

Teacher: Marja Kankaanrinta -

Scope: 10 cr

Type: Advanced studies

Teaching:

Topics: The fundamental group, singular homology, long exact sequences, excision

Prerequisites: Topology II, any introductory course in undergraduate algebra

News

  •  The first meeting will be on Tuesday Sept. 1. The first exercise class will meet on Wednesday Sept. 9.
  •  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.
     We will have the last exercise session on Thursday Dec 10  (starting a 10.15) instead of a regular lecture.

Teaching schedule

Weeks 36-42 and 44-50, Tuesday and Thursday from 10-12 in room B322. In additon, two hours of exercise classes per week.

Exams 

One can pass the class by attending lectures and doing homework exercises. Alternatively, one can pass the class by taking an exam.

 It is possible to take the exam on January 28, 2016.

 

Course material

     The following books may be of some help:

  1. Joseph J. Rotman: An Introduction to Algebraic Topology, Springer
  2. Marvin J. Greenberg and John R. Harper: Algebraic Topology, A First Course, Addison-Wesley Publishing Company

     Notice that Allen Hatcher's Algebraic Topology is available online. Here is a link: http://www.math.cornell.edu/~hatcher/AT/ATpage.html

     Lecture notes:

  1. Alg.top.2015.1.pdf
  2. Alg.top.2015.2.pdf
  3. Alg.top.2015.3.pdf
  4. Alg.top.2015.4.pdf
  5. Alg.Top.2015.5.pdf
  6. Alg.top.2015.6.pdf
  7. Alg.top.2015.7.pdf
  8. Alg.top.2015.8.pdf
  9. Alg.top.2015.9.pdf
  10. Alg.top.2015.10.pdf
  11. Alg.top.2015.11.pdf
  12. Alg.top.2015.12.pdf
  13. Alg.top.2015.13.pdf

Registration

 
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Exercises

Assignments

  • Exercise classes
GroupDayTimeRoomInstructor
1.Wednesday 10-12 B322 Marja Kankaanrinta 

Course feedback

Course feedback can be given at any point during the course. Click here.

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