Hello!

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

Thank you!

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- Dec 27th 2012, 07:37 AMAlso sprach ZarathustraProblem on lexicographic order
Hello!

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

Thank you! - Dec 27th 2012, 08:10 AMemakarovRe: Problem on lexicographic order
See why ordinal multiplication is not commutative.

- Dec 27th 2012, 08:24 AMAlso sprach ZarathustraRe: Problem on lexicographic order