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3 votes

Does the rank (=height) of a well partial order bound its type (=length, =stature)?

The height (aka rank) and maximal order type (aka type, aka length, aka stature) of a wpo are not functionally related. Consider for instance the family of finite partial orders (thus wpos) $P_n=\{a_ …
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5 votes

What ordinal corresponds to the T(3)?

If Player 1 moves first, Player 2 wins the game if and only if $\alpha\leq o(T(3))$, where $o$ denotes the maximal order type of the well-quasi-order $T(3)$. This ordinal was studied by Diana Schmidt …
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