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arxiv 2205.15240 v1 pith:TNHUZLJA submitted 2022-05-30 math.CT

Double Fibrations

Geoffrey Cruttwell , Michael Lambert , Dorette Pronk , Martin Szyld This is my paper
classification math.CT
keywords fibrationsdoublecategoriesdefinesdescribesdiscreteexamplesexisting
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This paper defines double fibrations (fibrations of double categories) and describes their key examples and properties. In particular, it shows how double fibrations relate to existing fibrational notions such as monoidal fibrations and discrete double fibrations, proves a representation theorem for double fibrations, and shows how double fibrations are a type of internal fibration.

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    cs.LO 2026-04 unverdicted novelty 7.0

    A categorical framework using lenses and tangencies provides compositional assume-guarantee reasoning for Lyapunov stability in generalized Moore machines and parameterized ODEs.