Results 1 to 2 of 2

Thread: Order/Relation Question

  1. #1
    Junior Member
    Joined
    Aug 2006
    Posts
    34

    Order/Relation Question

    show that the sets A={0}U(1,2) and B=[0,1) are order isomorphic?

    not really how to do this question, can anyone give me a hand? Thanks
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor

    Joined
    Aug 2006
    Posts
    21,780
    Thanks
    2823
    Awards
    1
    $\displaystyle \begin{array}{l}
    A = \left\{ 0 \right\} \cup \left( {1,2} \right)\quad \& \quad B = [0,1) \\
    f:A \mapsto B,\quad f(x) = \left\{ {\begin{array}{lr}
    0 & {x = 0} \\
    {x - 1} & {x \in (1,2)} \\
    \end{array}} \right. \\
    \end{array}$

    You must show that the function is bijective and order preserving.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. 3rd Order Recurrence Relation
    Posted in the Discrete Math Forum
    Replies: 2
    Last Post: Apr 26th 2011, 03:44 AM
  2. Partial Order Relation help
    Posted in the Discrete Math Forum
    Replies: 1
    Last Post: Feb 11th 2011, 12:29 AM
  3. Second Order Recurrence relation
    Posted in the Discrete Math Forum
    Replies: 3
    Last Post: Feb 12th 2008, 01:59 PM
  4. last two problems. order relation
    Posted in the Discrete Math Forum
    Replies: 1
    Last Post: Nov 15th 2006, 01:30 PM
  5. Partial order relation
    Posted in the Discrete Math Forum
    Replies: 10
    Last Post: Apr 17th 2006, 01:34 PM

Search Tags


/mathhelpforum @mathhelpforum