76 citations · 213 across the 18 of their papers we have counts for
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cs.CG2011
Homology and Robustness of Level and Interlevel Sets
Paul Bendich, Herbert Edelsbrunner, Dmitriy Morozov +1
Given a function $f: \Xspace \to \Rspace$ on a topological space, we consider the preimages of intervals and their homology groups and show how to read the ranks of these groups fr…
math.AT2011★ 1 cited
A Continuous Theory of Persistence for Mappings Between Manifolds
Amit Patel
Using sheaf theory, I introduce a continuous theory of persistence for mappings between compact manifolds. In the case both manifolds are orientable, the theory holds for integer c…