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Homework Help: Subspace topology

  1. Apr 4, 2013 #1
    1. The problem statement, all variables and given/known data

    1. Let A= {a,b,c}. Calculate the subspace topology on A induced by the topology

    T= { empty set, X,{a},{c,d},{b,c,e},{a,c,d},{a,b,c,e},{b,c,d,e},{c}, {a,c}} on X={a,b,c,d,e}.

    2. Relevant equations

    Given a topological space (X, T) and a subset S of X, the subspace topology on S is defined by

    Ts= {S[itex]\bigcap[/itex]U s.t. U[itex]\in[/itex]T}

    3. The attempt at a solution

    Would it just be Ta = { emptyset, {a}, {c}, {b,c}, {a,c}, {a,b,c}, {b,c} }?
  2. jcsd
  3. Apr 4, 2013 #2


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    Homework Helper

    Seems ok to me.
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