100341 Introductory Topology

Course offering details

Instructors: Prof. Dr. Dierk Schleicher

Type: Lecture

Org-unit:

Course Name Abbreviation: IntroTopology

Hours per week: 3

Credits: 7.50

Min. | Max. participants: - | -

Partial Grades:
Final Grade

Official Course Description:
This course is an introduction to some basic concepts and techniques in topology. The first part of the course builds on material in 100211 Analysis I on the topology of metric spaces; we introduce topological spaces and continuous maps and proceed to discuss properties of spaces including connectedness, compactness and the Hausdorff property. Basic constructions such as the product and quotient of spaces are also treated.

The second part of the course concerns a higher notion of connectedness. We define the notion of homotopy, construct the fundamental group of a space and prove the Seifert-van Kampen theorem, a key tool for computing fundamental groups. We discuss in some detail covering spaces and their relation with the fundamental group, including the construction of the universal covering space.

The course concludes with a brief treatment of higher homotopy groups and a sketch of the classification of closed surfaces.

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, 5. Sep. 2011 09:45 11:00 East Hall 3 Prof. Dr. Dierk Schleicher
2 Wed, 7. Sep. 2011 08:15 09:30 East Hall 3 Prof. Dr. Dierk Schleicher
3 Mon, 12. Sep. 2011 09:45 11:00 East Hall 4 Prof. Dr. Dierk Schleicher
4 Wed, 14. Sep. 2011 08:15 09:30 East Hall 4 Prof. Dr. Dierk Schleicher
5 Mon, 19. Sep. 2011 09:45 11:00 East Hall 4 Prof. Dr. Dierk Schleicher
6 Wed, 21. Sep. 2011 08:15 09:30 East Hall 4 Prof. Dr. Dierk Schleicher
7 Mon, 26. Sep. 2011 09:45 11:00 East Hall 4 Prof. Dr. Dierk Schleicher
8 Wed, 28. Sep. 2011 08:15 09:30 East Hall 4 Prof. Dr. Dierk Schleicher
9 Wed, 5. Oct. 2011 08:15 09:30 East Hall 4 Prof. Dr. Dierk Schleicher
10 Mon, 10. Oct. 2011 09:45 11:00 East Hall 4 Prof. Dr. Dierk Schleicher
11 Wed, 12. Oct. 2011 08:15 09:30 East Hall 4 Prof. Dr. Dierk Schleicher
12 Wed, 19. Oct. 2011 08:15 09:30 East Hall 4 Prof. Dr. Dierk Schleicher
13 Mon, 24. Oct. 2011 09:45 11:00 East Hall 4 Prof. Dr. Dierk Schleicher
14 Wed, 26. Oct. 2011 08:15 09:30 East Hall 4 Prof. Dr. Dierk Schleicher
15 Mon, 31. Oct. 2011 09:45 11:00 East Hall 4 Prof. Dr. Dierk Schleicher
16 Wed, 2. Nov. 2011 08:15 09:30 East Hall 4 Prof. Dr. Dierk Schleicher
17 Mon, 7. Nov. 2011 09:45 11:00 East Hall 4 Prof. Dr. Dierk Schleicher
18 Wed, 9. Nov. 2011 08:15 09:30 East Hall 4 Prof. Dr. Dierk Schleicher
19 Mon, 14. Nov. 2011 09:45 11:00 East Hall 4 Prof. Dr. Dierk Schleicher
20 Wed, 16. Nov. 2011 08:15 09:30 East Hall 4 Prof. Dr. Dierk Schleicher
21 Mon, 21. Nov. 2011 09:45 11:00 East Hall 4 Prof. Dr. Dierk Schleicher
22 Wed, 23. Nov. 2011 08:15 09:30 East Hall 4 Prof. Dr. Dierk Schleicher
23 Mon, 28. Nov. 2011 09:45 11:00 East Hall 4 Prof. Dr. Dierk Schleicher
24 Wed, 30. Nov. 2011 08:15 09:30 East Hall 4 Prof. Dr. Dierk Schleicher
25 Mon, 5. Dec. 2011 09:45 11:00 East Hall 4 Prof. Dr. Dierk Schleicher
26 Wed, 7. Dec. 2011 08:15 09:30 East Hall 4 Prof. Dr. Dierk Schleicher
Course specific exams
Description Date Instructors Mandatory
1. Final Grade Fri, 16. Dec. 2011 09:00-11:00 Prof. Dr. Dierk Schleicher No
Contained in course catalogues
Course catalogue
Course Catalogue > School of Engineering and Science > Undergraduate Programs > Mathematics
Class Session Overview
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Instructors
Prof. Dr. Dierk Schleicher