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Math Help - Set Theory

  1. #1
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    Set Theory

    1. Suppose the the set N of natural numbers is less than or equimunerous to A. Show that A is infinite.

    2. Prove by exhibiting an appropriate bijection that
    C^AXB is equinumerous to (C^B)^A.

    Thanks for any help.
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  2. #2
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    Your #1 really depends upon the definition of 'infinite' your text uses.
    For #2 read my pdf-file.
    Attached Files Attached Files
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  3. #3
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    Set Theory

    1. Suppose the the set N of natural numbers is less than or equimunerous to A. Show that A is infinite. Infinite is defined as not having a bijection.

    2. Prove by exhibiting an appropriate bijection that
    C^AXB is equinumerous to (C^B)^A.

    Thanks for any help.
    Follow Math Help Forum on Facebook and Google+

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