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Thread: Is the addition operation + continuous on the infinite Euclidean product space?

  1. April 7th 2012, 04:10 AM #1
    whitacre
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    Is the addition operation + continuous on the infinite Euclidean product space?

    R*R*... is the infinite Euclidean product space,is the addition operation +: R*R*... ————>R still continuous on this space where it is well-defined?
    Last edited by whitacre; April 7th 2012 at 04:15 AM.
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  2. April 7th 2012, 05:35 AM #2
    HallsofIvy
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    Re: Is the addition operation + continuous on the infinite Euclidean product space?

    What do you mean by the "infinite Euclidean product space"? Specifically, which of the many possible topologies are you assuming?
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