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Math Help - Disjoint union of manifolds

  1. #1
    MHF Contributor Drexel28's Avatar
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    Disjoint union of manifolds

    Hey, before I write this up I just am curious if anyone knows if the following is correct.

    Theorem: Let \left\{\mathfrak{M}_n\right\}_{n\in\mathbb{N}} be a class of m-manifolds. Then, \mathfrak{M}=\coprod_{n=1}^{\infty}\mathfrak{M}_n is an m-manifold under the coproduct topology.

    Right?
    Last edited by Drexel28; April 1st 2010 at 11:15 PM. Reason: Using both n for dimensionality of manifold and indexing subscript.
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  2. #2
    Moo
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    If you don't know whether it is correct or not, then don't call it a theorem
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  3. #3
    MHF Contributor Drexel28's Avatar
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    Quote Originally Posted by Moo View Post
    If you don't know whether it is correct or not, then don't call it a theorem
    If you don't know the answer, then don't respond to the thread!
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  4. #4
    Moo
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    You're one to talk May I mention a thread in advanced probability & statistics ? Plus all the other times when you said "I'll go back later with the solution" and never came back, while it would have been better not to answer ? Hey so I don't see the problem with my reply
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