MTL728
| MTL728 | |
|---|---|
| Category Theory | |
| Credits | 3 |
| Structure | 3-0-0 |
| Pre-requisites | |
| Overlaps | |
MTL728 : Category Theory
[edit]Categories, functors and natural transformations, adjoints (of functors), representable functors, Yoneda Lemma and applications. Limits and colimits, interaction between functors and limits. Limits in Courses of Study 2024-2025 Mathematics 271terms of representables and adjoints, limits and colimits of presheaves, interaction between adjoint functors and limits. Application to abelian category: complexes of R-modules, long exact sequence, mapping cone and cylinder, projective and injective resolution, derived functors, right and left exactness, Ext and Tor. Concept of presheaf and sheaf, group scheme and Hopf algebra.