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math.AT2026
An Algebraic Introduction to Persistence
Ulrich Bauer, Thomas Brüstle, Luis Scoccola
We introduce persistence with an emphasis on its algebraic foundations, using the representation theory of posets. Linear representations of posets arise in several areas of mathem…
math.AT2020★ 3 cited
Rectification of interleavings and a persistent Whitehead theorem
Edoardo Lanari, Luis Scoccola
The homotopy interleaving distance, a distance between persistent spaces, was introduced by Blumberg and Lesnick and shown to be universal, in the sense that it is the largest homo…