Differential topology

Lecture course for postgraduate students of Institute of Mathematics of NAS of Ukraine, Spring, 2024

  1. Notion of a manifold
    2024-02-05 video
  2. Smooth structures on manifolds
    2024-02-12 video
  3. Smooth structures on manifolds, 2
    2024-02-19 video
  4. Tangent vectors to a manifold
    2024-02-26 video
  5. Topology of the tangent bundle of a manifold
    2024-03-04 video
  6. Tangent maps
    2024-03-11 video
  7. Inverse function theorem for maps between manifolds
    2024-03-18 video
  8. Level sets of maps between manifolds
    2024-03-25 video
  9. Submanifolds
    2024-04-01 video
  10. Immersions and submersions
    2024-04-08 video
  11. Transversality
    2024-04-15 video
  12. Topologies on spaces of smooth maps
    2024-04-29 video
  13. Spaces of jets
    2024-05-13 video
  14. Spaces of jets, 2
    2024-05-20 video
CONTACTS

Algebra and Topology department
Institute of Mathematics of NAS of Ukraine
Str. Tereshchenkivska, 3
Kyiv, 01024 Ukraine
Email: maks@imath.kiev.ua

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