If A' is isomorphic to A'' and B' is isomorphic to B'' then A'UB' is isomorphic to A''UB''. (their intersections are empty).

Moreover conclude that the disjoint union is well-defined up to isomorphism.

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- June 16th 2013, 01:44 AMjcir2826Isomorphism
If A' is isomorphic to A'' and B' is isomorphic to B'' then A'UB' is isomorphic to A''UB''. (their intersections are empty).

Moreover conclude that the disjoint union is well-defined up to isomorphism. - June 17th 2013, 12:39 AMchiroRe: Isomorphism
Hey jcir2826.

Can you use results about equivalence classes and partitions for this result? (i.e. show that disjoint equivalence classes have a natural extension to isomorphism results) - June 17th 2013, 10:02 AMjcir2826Re: Isomorphism
The would help for the second part.

- June 17th 2013, 10:45 AMemakarovRe: Isomorphism
- June 19th 2013, 11:12 PMjcir2826Re: Isomorphism
They are sets. the assumption is correct.