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Munkres question

  1. Feb 22, 2008 #1
    [SOLVED] munkres question

    1. The problem statement, all variables and given/known data
    Please stop reading unless you have Munkres topology book.
    In Theorem 20.5, what is i? Are they assuming the index set omega is countable?


    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
  3. Feb 22, 2008 #2

    morphism

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    Yes. [itex]\mathbb{R}^{\omega}[/itex] is used to denote the set of all sequences of reals, see page 38. In general, [itex]\omega[/itex] is used to denote the smallest infinite ordinal, and hence is associated with countably infinite products and such.
     
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