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math.CT2026
Topological Dualities for Modal Algebras
Matthew Collinson
We display a family of Stone-type dualities linking categories of frames carrying pairs of modal operators to categories of spaces carrying a binary relation. Different notions of…
math.CT2026
Topologically valued transition structures
Matthew Collinson
We investigate several categories related to transition structures, using a mixture of algebraic and topological methods. We show how two such categories are connected by a contrav…