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Topology

Topology

Dr Peyam via YouTube Direct link

Can a disk be a square ?

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Can a disk be a square ?

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Classroom Contents

Topology

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  1. 1 What is a metric space ?
  2. 2 Can a disk be a square ?
  3. 3 Convergence in Rn
  4. 4 Rn is complete
  5. 5 Multidimensional Bolzano Weierstraß
  6. 6 Completion of a metric space
  7. 7 Taste of topology: Open Sets
  8. 8 What is a closed set ?
  9. 9 Can a ball be a sphere?
  10. 10 Cantor Intersection Theorem
  11. 11 Cantor set
  12. 12 Baire Category Theorem
  13. 13 Compactness
  14. 14 Compactness
  15. 15 Properties of Compactness
  16. 16 Heine Borel Theorem
  17. 17 [a,b] is compact
  18. 18 Non Compact set
  19. 19 Sequential Compactness
  20. 20 Totally Bounded
  21. 21 Finite Intersection Property
  22. 22 Continuity in Rn
  23. 23 Is addition continuous?
  24. 24 Continuity in Topology
  25. 25 f implies continuous
  26. 26 Continuity and Compactness
  27. 27 Connectedness
  28. 28 R is connected
  29. 29 Topologist Sine Curve
  30. 30 What is a Homeomorphism
  31. 31 UC Berkeley Math PhD Entrance Exam Question

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