Course for international guest/part time students
- Faculty
- Faculty of Science
- Organization
- TTK Department of Analysis
- Code
- homelm1u0um17em
- Title
- Homology theory (l)
- Usual semester
- Autumn
- Published semester
- 2025/26/2, 2026/27/1
- ECTS
- 3
- Language
- en
- Learning outcomes
- Knowledge: Knowledge of basic concepts, results and methods in the field. Ability: Application of knowledge in the field, understanding of interrelationships and problem solving. Attitude: Desire to improve mathematical knowledge and to learn as much as possible, and to apply knowledge as widely as possible. Autonomy and responsibility: Formulate and analyse mathematical questions independently and evaluate the limits of their applicability responsibly.
- Course content
- Singular homology and cohomology of topological spaces Basic properties Homology of CW complexes Applications: division algebras Necessary prior knowledge: Basic topology, basic algebra: Abelian groups, commutative rings, homomorphisms, tensor product.
- Assessment method
- homeworks and oral exam
- Bibliography
- Allen Hatcher. Algebraic topology. 2002
- Recommended bibliography
- Allen Hatcher. Algebraic topology
Programmes of the course
| Title (code) | Lang. | Level | Mandatory | Year | ... |
|---|---|---|---|---|---|
| Erasmus Programme (TTK-ERASMUS-NXXX) | en | Mandatory | |||
| Mathematician (TTK-MATEMAT-NMEN) | en | 7 | |||
| Mathematician (TTK-MATEMAT-NMHU) | hu | 7 |