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math.GN2026
Transfinitely iterated wild sets
Jeremy Brazas, Atish Mitra
In this paper, we study homotopical analogues of the Cantor-Bendixson derivative. For each , the "-wild set" of a topological space is the subsp…
math.GT2026
Tree-like is not a transitive relation on paths
Jeremy Brazas, Gregory R. Conner, Paul Fabel +1
The notions of tree-like loop and Lipschitz tree-like loop were introduced by Hambly and Lyons in their 2010 Annals of Mathematics paper. They showed that the Lipschitz tree-like p…