100442 Algebraic Topology

Course offering details

Instructors: Prof. Dr. Alan Huckleberry

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
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 Mon, 2. Sep. 2013 14:15 15:30 West Hall 8 Prof. Dr. Alan Huckleberry
2 Tue, 3. Sep. 2013 14:15 15:30 West Hall 8 Prof. Dr. Alan Huckleberry
3 Mon, 9. Sep. 2013 14:15 15:30 West Hall 8 Prof. Dr. Alan Huckleberry
4 Tue, 10. Sep. 2013 14:15 15:30 West Hall 8 Prof. Dr. Alan Huckleberry
5 Mon, 16. Sep. 2013 14:15 15:30 West Hall 8 Prof. Dr. Alan Huckleberry
6 Tue, 17. Sep. 2013 14:15 15:30 West Hall 8 Prof. Dr. Alan Huckleberry
7 Mon, 23. Sep. 2013 14:15 15:30 West Hall 8 Prof. Dr. Alan Huckleberry
8 Tue, 24. Sep. 2013 14:15 15:30 West Hall 8 Prof. Dr. Alan Huckleberry
9 Mon, 30. Sep. 2013 14:15 15:30 West Hall 8 Prof. Dr. Alan Huckleberry
10 Tue, 1. Oct. 2013 14:15 15:30 West Hall 8 Prof. Dr. Alan Huckleberry
11 Mon, 7. Oct. 2013 14:15 15:30 West Hall 8 Prof. Dr. Alan Huckleberry
12 Tue, 8. Oct. 2013 14:15 15:30 West Hall 8 Prof. Dr. Alan Huckleberry
13 Mon, 14. Oct. 2013 14:15 15:30 West Hall 8 Prof. Dr. Alan Huckleberry
14 Tue, 15. Oct. 2013 14:15 15:30 West Hall 8 Prof. Dr. Alan Huckleberry
15 Mon, 28. Oct. 2013 14:15 15:30 West Hall 8 Prof. Dr. Alan Huckleberry
16 Tue, 29. Oct. 2013 14:15 15:30 West Hall 8 Prof. Dr. Alan Huckleberry
17 Mon, 4. Nov. 2013 14:15 15:30 West Hall 8 Prof. Dr. Alan Huckleberry
18 Tue, 5. Nov. 2013 14:15 15:30 West Hall 8 Prof. Dr. Alan Huckleberry
19 Mon, 11. Nov. 2013 14:15 15:30 West Hall 8 Prof. Dr. Alan Huckleberry
20 Tue, 12. Nov. 2013 14:15 15:30 West Hall 8 Prof. Dr. Alan Huckleberry
21 Mon, 18. Nov. 2013 14:15 15:30 West Hall 8 Prof. Dr. Alan Huckleberry
22 Tue, 19. Nov. 2013 14:15 15:30 West Hall 8 Prof. Dr. Alan Huckleberry
23 Mon, 25. Nov. 2013 14:15 15:30 West Hall 8 Prof. Dr. Alan Huckleberry
24 Tue, 26. Nov. 2013 14:15 15:30 West Hall 8 Prof. Dr. Alan Huckleberry
25 Mon, 2. Dec. 2013 14:15 15:30 West Hall 8 Prof. Dr. Alan Huckleberry
26 Tue, 3. Dec. 2013 14:15 15:30 West Hall 8 Prof. Dr. Alan Huckleberry
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 > Mathematical Sciences > Graduate Level Courses
Class Session Overview
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Instructors
Prof. Dr. Alan Huckleberry