100442 Algebraic Topology

Course offering details

Instructors: Dr. Stefan Maubach

Type: Lecture

Org-unit:

Course Name Abbreviation: Algebr Topology

Hours per week: 3

Credits: 7.50

Min. | Max. participants: - | -

Partial Grades:
Final Grade

Official Course Description:
This course is mostly concerned with the comprehensive treatment of the
fundamental ideas of singular homology/cohomology theory and duality. The knowledge of
fundamental concepts of algebra as well as of general topology is assumed (at a level of Introductory
Topology and Introductory Algebra).
The first part studies the definition of homology and the properties that lead to the axiomatic
characterization of homology theory. Then further algebraic concepts such as cohomology and
the multiplicative structure in cohomology are introduced. In the last section the duality between
homology and cohomology of manifolds is studied and few basic elements of obstruction
theory are discussed.
The graduate algebraic topology course gives a solid introduction to fundamental ideas and
results that are used nowadays in most areas of pure mathematics and theoretical physics.

Literature
Primary Text
  • Elements of Algebraic Topology
Required Reading (To view a list click a category.)
Recommended Reading (To view a list click a category.)
Appointments
Date From To Room Instructors
1 Th, 4. Feb. 2010 14:15 15:30 East Hall 2 Dr. Stefan Maubach
2 Th, 11. Feb. 2010 14:15 15:30 East Hall 2 Dr. Stefan Maubach
3 Th, 18. Feb. 2010 14:15 15:30 East Hall 2 Dr. Stefan Maubach
4 Fri, 19. Feb. 2010 11:15 12:30 East Hall 1 Dr. Stefan Maubach
5 Th, 25. Feb. 2010 14:15 15:30 East Hall 2 Dr. Stefan Maubach
6 Fri, 26. Feb. 2010 11:15 12:30 East Hall 1 Dr. Stefan Maubach
7 Wed, 3. Mar. 2010 15:45 17:00 East Hall 4 Dr. Stefan Maubach
8 Th, 4. Mar. 2010 14:15 15:30 East Hall 2 Dr. Stefan Maubach
9 Fri, 5. Mar. 2010 11:15 12:30 West Hall 8 Dr. Stefan Maubach
10 Wed, 10. Mar. 2010 15:45 17:00 East Hall 3 Dr. Stefan Maubach
11 Th, 11. Mar. 2010 14:15 15:30 East Hall 2 Dr. Stefan Maubach
12 Fri, 12. Mar. 2010 11:15 12:30 West Hall 8 Dr. Stefan Maubach
13 Th, 18. Mar. 2010 14:15 15:30 East Hall 2 Dr. Stefan Maubach
14 Fri, 19. Mar. 2010 11:15 12:30 West Hall 8 Dr. Stefan Maubach
15 Wed, 24. Mar. 2010 15:45 17:00 East Hall 2 Dr. Stefan Maubach
16 Th, 25. Mar. 2010 14:15 15:30 East Hall 2 Dr. Stefan Maubach
17 Wed, 7. Apr. 2010 15:45 17:00 East Hall 1 Dr. Stefan Maubach
18 Th, 8. Apr. 2010 14:15 15:30 East Hall 2 Dr. Stefan Maubach
19 Th, 15. Apr. 2010 14:15 15:30 East Hall 2 Dr. Stefan Maubach
20 Fri, 16. Apr. 2010 11:15 12:30 West Hall 8 Dr. Stefan Maubach
21 Wed, 21. Apr. 2010 15:45 17:00 East Hall 1 Dr. Stefan Maubach
22 Th, 22. Apr. 2010 14:15 15:30 East Hall 2 Dr. Stefan Maubach
23 Th, 29. Apr. 2010 14:15 15:30 East Hall 2 Dr. Stefan Maubach
24 Wed, 5. May 2010 15:45 17:00 East Hall 1 Dr. Stefan Maubach
25 Th, 6. May 2010 13:15 15:30 East Hall 2 Dr. Stefan Maubach
26 Fri, 14. May 2010 11:15 13:30 West Hall 8 Dr. Stefan Maubach
Course specific exams
Description Date Instructors Mandatory
1. Final Grade No Date No
Contained in course catalogues
Course catalogue
Course Catalogue > School of Engineering and Science > Graduate Programs > Mathematical Sciences
Class Session Overview
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Instructors
Dr. Stefan Maubach