Algebraic topology II, spring 2016

Last modified by mkankaan@helsinki_fi on 2024/03/27 10:26

Algebraic topology II, spring 2016

 

Teacher: Marja Kankaanrinta 

Scope: 10 cr

Type: Advanced studies

Teaching:

Topics: CW-complexes, cellular homology, universal coefficients, cohomology, applications.

Prerequisites: Introduction to Algebraic Topology (Fall 2015) or equivalent.

The [toc] macro is a standalone macro and it cannot be used inline. Click on this message for details.

News

        Torstaina 21.4. ei ole luentoa. Sen sijaan perjantaina 22.4. on luento klo 12 - 14 salissa B322.

        Tiistaina 19.4. ei ole luentoa, koska silloin on matematiikan laitoksen virkistyspäivä.

Teaching schedule

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.

Easter Holiday 24.-30.3. 

Exams

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

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:

Alg.top.2.2016.1.pdf

Alg.top.2.2016.2.pdf

Alg.top.2.2016.3.pdf

Alg.top.2.2016.4.pdf

Alg.top.2.2016.5.pdf

Alg.top.2.2016.6.pdf

Alg.top.2.2016.7.pdf

Alg.top.2.2016.8.pdf

Algtop2.2016.9.pdf

Alg.top.2.2016.10.pdf

Alg.top.2.2016.11.pdf

Alg.top.2.2016.12.pdf

Alg.top.2.2016.13.pdf

Alg.top.2.2016.14.pdf

 

Registration

 Did you forget to register? What to do?

Exercises

Assignments

  • Exercise classes

Group

Day

Time

Room

Instructor

1.

Wednesday

12-14 

C122 

Marja Kankaanrinta 

Course feedback

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