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math.AT2019
Leray Spectral Sequence for Simplicial Maps
Amit Patel, Dustin Sauriol
The Leray spectral sequence of a map computes the homology of the domain of from the fibers of . In this expository paper, we relate in full detail the Leray spectral se…
math.AT2019★ 6 cited
Positivity of Multiparameter Persistence Diagrams and Bottleneck Stability
Alex McCleary, Amit Patel
Persistent homology studies the birth and death of cycles in a parameterized family of spaces. In this paper, we study the birth and death of cycles in a multifiltration of a chain…