MU:MU04063 Algebraic and Diff. Top. II - Course Information
MU04063 Algebraic and Differential Topology II
Mathematical Institute in OpavaSummer 2015
- Extent and Intensity
- 2/2/0. 6 credit(s). Type of Completion: zk (examination).
- Teacher(s)
- RNDr. Jiřina Jahnová, Ph.D. (lecturer)
RNDr. Jiřina Jahnová, Ph.D. (seminar tutor) - Guaranteed by
- doc. RNDr. Michal Marvan, CSc.
Mathematical Institute in Opava - Prerequisites (in Czech)
- MU04062 Algebraic and Diff. Top. I
- 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
- Geometry and Global Analysis (programme MU, N1101)
- Mathematical Analysis (programme MU, M1101)
- Mathematics (programme MU, B1101)
- Course objectives
- The main theme of the second part of the three-term course in algebraic topologz is singular homology and cohomology.
- Syllabus
- Chain complexes of Abelian groups, homology, morphisms of chain complexes, algebraic homotopies of chain complex morphisms.
Singular simplices, singular chains, singular homology, homotopic invariance of singular homologies.
The long exact sequence of homologies, barycentric subdivision, excission, Mayer-Vietors formula.
The mapping degree, methods of its calculation.
CW-complexes, cellular homologies and their identification with singular homologies.
- Chain complexes of Abelian groups, homology, morphisms of chain complexes, algebraic homotopies of chain complex morphisms.
- Literature
- Language of instruction
- Czech
- Further comments (probably available only in Czech)
- The course can also be completed outside the examination period.
- Enrolment Statistics (Summer 2015, recent)
- Permalink: https://is.slu.cz/course/sumu/summer2015/MU04063