A parameterized family of tensor products on persistence modules produces Künneth short exact sequences and universal coefficient theorems usable for persistent homology of filtered CW complexes and product spaces.
Medina-Mardones and Ling Zhou.Persistent cohomology operations and Gromov-Hausdorff estimates
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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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A continuum of K\"unneth theorems for persistence modules
A parameterized family of tensor products on persistence modules produces Künneth short exact sequences and universal coefficient theorems usable for persistent homology of filtered CW complexes and product spaces.
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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.
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