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math.GT2017★ 19 cited
Approximations of 1-Dimensional Intrinsic Persistence of Geodesic Spaces and Their Stability
Žiga Virk
A standard way of approximating or discretizing a metric space is by taking its Rips complexes. These approximations for all parameters are often bound together into a filtration,…
math.GT2017★ 33 cited
1-Dimensional Intrinsic Persistence of Geodesic Spaces
Žiga Virk
Given a compact geodesic space we apply the fundamental group and alternatively the first homology group functor to the corresponding Rips or Čech filtration of to obtain w…