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math.AT2022★ 1 cited
MuRiT: Efficient Computation of Pathwise Persistence Barcodes in Multi-Filtered Flag Complexes via Vietoris-Rips Transformations
Maximilian Neumann, Michael Bleher, Lukas Hahn +5
Multi-parameter persistent homology naturally arises in applications of persistent topology to data that come with extra information depending on additional parameters, like for ex…
math.AT2009★ 2 cited
Surjectivity of the comparison map in bounded cohomology for Hermitian Lie groups
Tobias Hartnick, Andreas Ott
We prove surjectivity of the comparison map from continuous bounded cohomology to continuous cohomology for Hermitian Lie groups with finite center. For general semisimple Lie grou…