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Math Help - Toplogy Question help

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    Toplogy Question help

    Let T consist of \emptyset, \Re and all intervals (- \infty,p) for p \in \Re. Prove that T is a topology on \Re
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    Quote Originally Posted by flaming View Post
    Let T consist of \emptyset, \Re and all intervals (- \infty,p) for p \in \Re. Prove that T is a topology on \Re
    Do you know what it means to say that a collection of subsets of a set is a topology on that set?
    If so, then which of the parts of that definition gives you trouble?
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  3. #3
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    Axioms of a topology :

    \emptyset and \Re belong to the collection.
    A finite intersection of sets in the collection is in the collection.
    An arbitrary union of sets in the collection is in the collection.
    Last edited by Moo; January 11th 2009 at 01:16 PM. Reason: mistake oO
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