is an order isomorphism between X and Y also an order embedding from X into Y?
Please assume that X and Y are both well-ordered sets.
I think the answer is yes.. but am not 100% sure. Thanks in advance for any tips or guidance you can provide.
is an order isomorphism between X and Y also an order embedding from X into Y?
Please assume that X and Y are both well-ordered sets.
I think the answer is yes.. but am not 100% sure. Thanks in advance for any tips or guidance you can provide.
By definition, an embedding is an injective homomorphism, so any isomorphism would qualify.