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math.LO2023
Left absorption in products of countable orders
Garrett Ervin, Ethan Gu
We classify the countable linear orders for which there is an order with at least two points such that the lexicographic product is isomorphic to . Given such an $X…
math.LO2018
Distinct orders dividing each other on both sides
Garrett Ervin
We construct non-isomorphic linear orders X and Y that are both left-hand and right-hand divisors of one another, answering positively a question of Sierpinski.