3 papers
math.AT2025
The algebra of semi-flows: a tale of two topologies
Kelly Spendlove, Robert Vandervorst
To capture the global structure of a dynamical system we reformulate dynamics in terms of appropriately constructed topologies, which we call flow topologies; we call this process…
math.DS2024
Priestley duality and representations of recurrent dynamics
William Kalies, Robert Vandervorst
For an arbitrary dynamical system there is a strong relationship between global dynamics and the order structure of an appropriately constructed Priestley space. This connection pr…
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…