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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The paper surveys algebraic properties of poset representations and their stability under the interleaving distance in persistence theory.
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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
The paper surveys algebraic properties of poset representations and their stability under the interleaving distance in persistence theory.