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math.AT2024
Graded differential groups, Cartan-Eilenberg systems and conjectures in Conley index theory
Kelly Spendlove, Robert Vandervorst
Cartan-Eilenberg systems play an prominent role in the homological algebra of filtered and graded differential groups and (co)chain complexes in particular. We define the concept o…
math.AT2021
Morse Theoretic Templates for High Dimensional Homology Computation
Shaun Harker, Konstantin Mischaikow, Kelly Spendlove
We introduce the notion of a template for discrete Morse theory. Templates provide a memory efficient approach to the computation of homological invariants (e.g., homology, persist…