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More drawings by Robert Ghrist. Point-set topology, differential topology, geometric topology, symplectic topology, algebraic topology illustrated. From his (free) notes on applied homology.

GLOSSARY

  • Topology = connections between things.
  • Manifolds come in a wide variety of shapes, but they’re all tame.
  • Vector fields = arrows on a manifold.
  • Differential = linear approximation.
  • Symplectic = isotropic + antisymmetric + bilinear. (erm, not as complicated as it sounds)
  • Phase Space means these things can be conceptual rather than literal.







86 notes

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  5. felper reblogged this from themathkid and added:
    Topología en dibujos!
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  8. kyodo8 reblogged this from faceoftheuniverse and added:
    Knot Theory
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  10. lmpressions reblogged this from likeaphysicist and added:
    This actually helps with my dissertation!
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  12. faceoftheuniverse reblogged this from themathkid and added:
    WHAT IS THIS BEAUTY
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  16. cellular-automaton reblogged this from themathkid and added:
    I was reading about knot theory this morning actually, pretty crazy stuff.
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