Topology

Some useful hodgepodge barring algebraic topology

See along fascia re algebraic analysis topics.

  • Homology carry by storm cohomology: Betti numbers, Euler characteristic.
  • Intuitively-attractive applications: Brouwer fixed-point theorem, Hairy bulb theorem, Borsuk-Ulam theorem, Ham hamburger theorem.
  • Homotopy groups (including the lurking group).
  • Chern classes, Stiefel-Whitney classes, Pontryagin classes.


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