On the bottleneck stability of rank decompositions of multi-parameter persistence modules

Persistent homology and applications, topological data analysis (55N31) Representation theory of lattices (06B15) Relative homological algebra, projective classes (category-theoretic aspects) (18G25)

Cites Work

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Relative homological algebra. Vol. 1
The theory of multidimensional persistence
Generalized persistence diagrams
Multidimensional persistence and noise
The rank invariant stability via interleavings
On the stability of interval decomposable persistence modules
Generalized persistence diagrams for persistence modules over posets
Distributive lattices and Auslander regular algebras
Algebraic homotopy interleaving distance
The theory of the interleaving distance on multidimensional persistence modules
Noncommutative Noetherian rings. With the cooperation of L. W. Small.
Relative homology and representation theory 1
The Structure and Stability of Persistence Modules
On the Dimension of Modules and Algebras (III): Global Dimension
Relative Homological Algebra
PARTIALLY ORDERED SETS OF INFINITE TYPE
Exact categories and vector space categories
Induced Matchings of Barcodes and the Algebraic Stability of Persistence
Decomposition of persistence modules
Stratifying Multiparameter Persistent Homology
Proximity of persistence modules and their diagrams
Corrections and Supplementaries to My Paper concerning Krull-Remak-Schmidt’s Theorem
Exact computation of the matching distance on 2-parameter persistence modules
Efficient Approximation of the Matching Distance for 2-Parameter Persistence
Approximation by interval-decomposables and interval resolutions of persistence modules
Homological approximations in persistence theory
On the Stability of Multigraded Betti Numbers and Hilbert Functions

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