Nomenclature about algebraic applications

**doctor_cat** · November 21st, 2008, 07:33 AM

Hi!

We have a generic application F: S -> T, (S, T sets).

How do we have to term S and T?

DOMAIN, RANGE, IMAGE,...??

**Guitarist** · November 21st, 2008, 09:20 AM

In your case

, you should call

the domain, and

the codomain.

The range

of

will be a subset of the codomain;

The point

of some

is the image point of

under

**doctor_cat** · November 21st, 2008, 09:23 AM

Now it's clear!

My book is a bit reticent about that...

Thank you!! :-D

Thread: Nomenclature about algebraic applications