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Topology PowerPoint Presentation

Topology

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Topology

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  1. Topology What the subject of topology is all about?

  2. Which shapes are the same from my point of view? 

  3. What about these shapes?

  4. compare

  5. What about now? circle rectangle

  6. Continuous deformations

  7. Continuous deformations of a sphere

  8. Continuous deformations(continued)

  9. Other continuous deformations

  10. Jordan Curve

  11. Jordan Theorem

  12. Jordan Theorem

  13. 2-dimentionalrectangle

  14. Rectangle to cylinder

  15. Rectangle to Mobius strip

  16. Orientable surfaces

  17. “orientation ” of a pair od orthogonal vectors same different

  18. Non-orientable surface

  19. Non-orientable surfaces

  20. Closed surface