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math.DS2026
Realizing Arbitrary Depth
Ethan Akin
We provide a simple construction which realizes the Birkhoff center depth at an arbitrary ordinal level and relate it to the Cantor-Bendixson depth.
math.DS2026
Invertibility, Often
Ethan Akin, Benjamin Weiss
By using a similar pattern of arguments, we show that in four categories the collection of isomorphisms forms a residual subset of the space of morphisms. We first consider surject…