1 | Learns differentiable manifolds and functions, knows reduced topology on a manifold, varieties, Grasman manifolds. |
2 | Learns manifold structure on a topological space, properties of the reduced topology, unit breakdown of unit. |
3 | Learns tangent vectors, derivatived linear functions, immersions, submanifold and some topological properties. |
4 | Knows regular submanifolds, submersiyonlar and fibers, section manifolds, transformation groups. |
5 | Knows tangent bundle, vector fields, directional manifolds.
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