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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?
  2. jcsd
  3. Apr 10, 2010 #2
    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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