Problem on lexicographic order

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Dec 27th 2012, 07:37 AM
Also sprach Zarathustra

Problem on lexicographic order

Hello!

How to find well ordered sets $(X,<_1), (Y,<_2)$ such that $X\times Y$ with lexicographic order isn't isomorphic to $Y\times X$ with lexicographic order?

Thank you!
Dec 27th 2012, 08:10 AM
emakarov

Re: Problem on lexicographic order

See why ordinal multiplication is not commutative.
Dec 27th 2012, 08:24 AM
Also sprach Zarathustra

Re: Problem on lexicographic order

Quote:

Originally Posted by emakarov

See why ordinal multiplication is not commutative.

Makarov, thank you very much for this information.

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