Quick Denotation Question

**Sw0rDz** · September 26th 2011, 06:53 PM

$R^\times$ 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!

**dwsmith** · September 26th 2011, 06:59 PM

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

**emakarov** · September 27th 2011, 03:03 AM

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

**Drexel28** · September 27th 2011, 03:34 PM

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.

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