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Computing Projective Implicit Representations from Poset Towers
arXiv:2505.08755v2 Announce Type: replace-cross Abstract: A family of simplicial complexes connected by simplicial maps and indexed by a finite poset $P$ is called a poset tower. Poset towers subsume multi-parameter filtrations, zigzag filtrations, and one-parameter simplicial towers, while allowing arbitrary finite posets and simplicial maps. The homology of a poset tower is a $P$-persistence module.