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Math Help - Question about Intermediate Value Theorem on diff. Topologies

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    Question about Intermediate Value Theorem on diff. Topologies

    Determine whether or not the general version of the Intermediate Theorem holds when the range \Re is given each of the following topologies

    i. The trivial topology
    ii. The discrete topology
    iii. The finite complement topology
    Last edited by mr fantastic; May 22nd 2009 at 05:16 AM. Reason: Restored original question deleted by OP
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