"In this sentence I think yo..."


by Eric Rogstad May 14 2016

If $~$f$~$ maps $~$X$~$ to a subset $~$I$~$ of $~$Y$~$, why not just say that its domain is $~$I$~$ and do away with the distinction between domain and codomain? There are at least two cases where the distinction is useful\.

In this sentence I think you meant 'codomain' where you said 'domain' and 'image' where you said 'codomain'. Is that right?