# Quick Denotation Question

• September 26th 2011, 07:53 PM
Sw0rDz
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!
• September 26th 2011, 07:59 PM
dwsmith
Re: Quick Denotation Question
Quote:

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
• September 27th 2011, 04:03 AM
emakarov
Re: Quick Denotation Question
Maybe its an isomorphism between the multiplicative groups of $\mathbb{C}$ and $\mathbb{R}$.
• September 27th 2011, 04:34 PM
Drexel28
Re: Quick Denotation Question
Quote:

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.