76 citations · 213 across the 18 of their papers we have counts for
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math.AT2018
Canonical stratifications along bisheaves
Vidit Nanda, Amit Patel
A theory of bisheaves has been recently introduced to measure the homological stability of fibers of maps to manifolds. A bisheaf over a topological space is a triple consisting of…
math.AT2018★ 19 cited
Bottleneck Stability for Generalized Persistence Diagrams
Alex McCleary, Amit Patel
In this paper, we extend bottleneck stability to the setting of one dimensional constructible persistences module valued in any small abelian category.
math.AT2018★ 6 cited
Persistent Local Systems
Robert MacPherson, Amit Patel
In this paper, we give lower bounds for the homology of the fibers of a map to a manifold. Using new sheaf theoretic methods, we show that these lower bounds persist over whole ope…