Interleaving distance on single- and multi-parameter persistence modules equals a Galois-edit distance, yielding a new proof of bottleneck stability.
The Generalized Rank Invariant: M ¨obius invertibility, Discriminating power, and Connection to Other Invariants
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A survey of persistence via poset representations and interleaving distance, covering foundations, applications, multiparameter persistence, and open questions.
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Interleaving Distance as a Galois-Edit Distance
Interleaving distance on single- and multi-parameter persistence modules equals a Galois-edit distance, yielding a new proof of bottleneck stability.
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An Algebraic Introduction to Persistence
A survey of persistence via poset representations and interleaving distance, covering foundations, applications, multiparameter persistence, and open questions.