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Math Help - Quick Denotation Question

  1. #1
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    Quick Denotation Question

    R^\times and C^\times mean when referred to the following example:

    Does there exist an isomorphism from C^\times to R^\times.

    I have a fairly good idea on how to solving this, but I can't really solve it w/o the ability to read the denotation.

    Thanks!
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  2. #2
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    Re: Quick Denotation Question

    Quote Originally Posted by Sw0rDz View Post
    R^\times and C^\times mean when referred to the following example:

    Does there exist an isomorphism from C^\times to R^\times.

    I have a fairly good idea on how to solving this, but I can't really solve it w/o the ability to read the denotation.

    Thanks!
    dual space maybe
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  3. #3
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    Re: Quick Denotation Question

    Maybe its an isomorphism between the multiplicative groups of \mathbb{C} and \mathbb{R}.
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  4. #4
    MHF Contributor Drexel28's Avatar
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    Re: Quick Denotation Question

    Quote Originally Posted by Sw0rDz View Post
    R^\times and C^\times mean when referred to the following example:

    Does there exist an isomorphism from C^\times to R^\times.

    I have a fairly good idea on how to solving this, but I can't really solve it w/o the ability to read the denotation.

    Thanks!
    I would tend to agree with emakarov that \mathbb{R}^\times denotes the group of units of \mathbb{R} and similarly for \mathbb{C}^\times. So, what is your proof? There is an easy way and a hard way.
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