Jacob Hilton

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20142023

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4.3k citations · 5.2k across the 11 of their papers we have counts for

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math.LO2015★ 5 cited

Topological Ramsey numbers and countable ordinals

Andrés Eduardo Caicedo, Jacob Hilton

We study the topological version of the partition calculus in the setting of countable ordinals. Let $α$ and $β$ be ordinals and let $k$ be a positive integer. We write $β\to_{top}…

math.LO2014★ 3 cited

The topological pigeonhole principle for ordinals

Jacob Hilton

Given a cardinal $κ$ and a sequence $(α_{i})_{i \in κ}$ of ordinals, we determine the least ordinal $β$ (when one exists) such that the topological partition relation \[β\ri…