3 citations · 3 across the 4 of their papers we have counts for
4 papers
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…
A metrically complete and Krull--Schmidt space of multiparameter persistence modules
Ulrich Bauer, Cameron Gusel, Luis Scoccola
We show that the observable category of q-tame multiparameter persistence modules satisfies good metric and algebraic properties: it forms a complete metric space with respect to t…
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…
The Integers as a Higher Inductive Type
Thorsten Altenkirch, Luis Scoccola
We consider the problem of defining the integers in Homotopy Type Theory (HoTT). We can define the type of integers as signed natural numbers (i.e., using a coproduct), but its ind…