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Need assistance,can you imagine a continuously deformation between X and Y?

  1. Apr 7, 2010 #1
    how can X be continuously deformed to Y?
    2f8e1894f1a5756021893148fb22ce4e816fe2bf63875867c2d058a420f4d0e49d9b6898c7ac4c8cff0e10&a=36&b=36.jpg
     
  2. jcsd
  3. Apr 10, 2010 #2
    Yes:
    Let X be a ball , i.e., the interior of a circle (either a s astand-alone space, or

    embedded in R^n), and let Y be, say, the center of the ball . Can you see how

    to deform X into Y continuously.?. Can you see why, e.g., a circle could not be

    deformed to a point (i.e., to a 1-pt. subspace of the circle.)?
     
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