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

  • Thread starter kakarotyjn
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  • #1
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Main Question or Discussion Point

how can X be continuously deformed to Y?
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Answers and Replies

  • #2
662
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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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