PřF:M8130 Algebraic Topology - Course Information
M8130 Algebraic Topology
Faculty of ScienceSpring 2011
- Extent and Intensity
- 2/2/0. 3 credit(s) (příf plus uk k 1 zk 2 plus 1 > 4). Recommended Type of Completion: zk (examination). Other types of completion: z (credit).
- Teacher(s)
- doc. RNDr. Martin Čadek, CSc. (lecturer)
doc. Lukáš Vokřínek, PhD. (seminar tutor) - Guaranteed by
- doc. RNDr. Martin Čadek, CSc.
Department of Mathematics and Statistics – Departments – Faculty of Science - Timetable
- Mon 10:00–11:50 MS1,01016
- Timetable of Seminar Groups:
- Prerequisites
- Basic notions from general topology and algebra.
- Course Enrolment Limitations
- The course is also offered to the students of the fields other than those the course is directly associated with.
- fields of study / plans the course is directly associated with
- Mathematics (programme PřF, N-MA)
- Course objectives
- Basic course of algebraic topology. Passing the course the students will know basic notions of singular homology and cohomology and homotopy groups and *will be able to use them.
- Syllabus
- 1. Motivation 2. Basic constructions 3. CW complexes 4. Singular homology and cohomology 5. Homological algebra 6. Products and Kuennet formula 7. Thom isomorphism and Gyzin sequence 8. Poincaré duality 9. Homotopy groups 10.Cofibrations and fibrations 11.Whitehead theorem 12.Hurewicz theorem
- Literature
- Hatcher, Allen. Algebraic topology I. http://math.cornell.edu/~hatcher
- BREDON, Glen E. Topology and geometry. New York: Springer-Verlag, 1993, 557 s. ISBN 0-387-97926-3. info
- Spanier, Edwin H. Algebraic topology. New York: McGraw-Hill Book Company, 1966
- Teaching methods
- Lectures, exercises and homeworks
- Assessment methods
- Exam written and oral.
- Language of instruction
- Czech
- Further Comments
- Study Materials
The course is taught once in two years. - Teacher's information
- http://www.math.muni.cz/~cadek
- Enrolment Statistics (Spring 2011, recent)
- Permalink: https://is.muni.cz/course/sci/spring2011/M8130