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Math Help - simply or multiply connected ?

  1. #1
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    Question simply or multiply connected ?

    Is the given region simply connected or multiply connected ? Please explain your decission.

    thnx

    MOhit
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  2. #2
    MHF Contributor Swlabr's Avatar
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    Quote Originally Posted by Mohit View Post
    Is the given region simply connected or multiply connected ? Please explain your decission.

    thnx

    MOhit
    Simply connected, because it has no holes in it! If you take two arbitrary paths from a point a to different point b then you can find a set of paths that fills in the gap - you can drag one path into the position of the other path. There is nothing there to stop you - there are no holes!
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