Jennifer Brown

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math.LO2025

The countable condensation on linear orders

Jennifer Brown, Ricardo SuÃ¡rez

The countable condensation on a linear order $L$ is the equivalence relation $\sim_{I ¨} $ defined by declaring $x \sim_{I ¨} y$ when the set of points between $x$ and $y$ is countable. We…

math.LO2025

Algebraic structures arising from the finite condensation on linear orders

Jennifer Brown, Ricardo SuÃ¡rez

The finite condensation $\sim_{F}$ is an equivalence relation defined on a linear order $L$ by $x \sim_{F} y$ if and only if the set of points lying between $x$ and $y$ is finite. We d…