Hausdorff stability of persistence spaces
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Publication:285432
DOI10.1007/s10208-015-9244-1zbMath1358.55005OpenAlexW2064704056MaRDI QIDQ285432
Publication date: 19 May 2016
Published in: Foundations of Computational Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10208-015-9244-1
Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Homology and cohomology theories in algebraic topology (55N99)
Related Items (4)
Computing multiparameter persistent homology through a discrete Morse-based approach ⋮ Rigorous cubical approximation and persistent homology of continuous functions ⋮ On the geometrical properties of the coherent matching distance in 2D persistent homology ⋮ Morse-based fibering of the persistence rank invariant
Cites Work
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- Comparison of persistent homologies for vector functions: from continuous to discrete and back
- Stability of persistence diagrams
- The theory of multidimensional persistence
- Size homotopy groups for computation of natural size distances
- Betti numbers in multidimensional persistent homology are stable functions
- One-dimensional reduction of multidimensional persistent homology
- The Persistence Space in Multidimensional Persistent Homology
- Necessary conditions for discontinuities of multidimensional persistent Betti numbers
- Proximity of persistence modules and their diagrams
- PERSISTENCE BARCODES FOR SHAPES
- Size functions and formal series
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