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Thread: 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 $\displaystyle \Re$ 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 04:16 AM. Reason: Restored original question deleted by OP
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