Garrett Ervin

activity

20182026

collaborators

3 papers

math.CO2026

Untranscendable order types

Garrett Ervin, Alberto Marcone, Thilo Weinert

We introduce and study a multiplicative analogue of additive indecomposability for linear order types that we call untranscendability, as well as a strengthening that we call $s$ -u…

math.LO2023

Left absorption in products of countable orders

Garrett Ervin, Ethan Gu

We classify the countable linear orders $X$ for which there is an order $A$ with at least two points such that the lexicographic product $A X$ is isomorphic to $X$ . 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.