1. ## 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!

2. ## Re: Quick Denotation Question

Originally Posted by Sw0rDz
$R^\times$ 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

3. ## Re: Quick Denotation Question

Maybe its an isomorphism between the multiplicative groups of $\mathbb{C}$ and $\mathbb{R}$.

4. ## Re: Quick Denotation Question

Originally Posted by Sw0rDz
$R^\times$ 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.