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math.AT2024
Infinitary combinatorics in condensed math and strong homology
Jeffrey Bergfalk, Chris Lambie-Hanson
Recent advances in our understanding of higher derived limits carry multiple implications in the fields of condensed and pyknotic mathematics, as well as for the study of strong ho…
math.LO2024
An introduction to higher walks
Jeffrey Bergfalk
The following is an introduction to the study of higher walks, by which we mean a family of higher-dimensional extensions of Todorcevic's method of walks on the ordinals. After a b…