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math.CT2025
Important Classes of Morphisms and the Relative Cotangent Sequence in Tangent Categories
Jean-Simon Pacaud Lemay, Geoff Vooys
In this paper we provide a deep and systematic study of what it means to be an immersion, a submersion, a local diffeomorphism, and unramified in a tangent category. We also give a…
math.CT2023
Pseudolimits for Tangent Categories with Applications to Equivariant Algebraic and Differential Geometry
Dorette Pronk, Geoff Vooys
In this paper we show that if is a category and if is a pseudofunctor such that for each object of $\m…
math.CT2023
Tangent Ind-Categories
Geoff Vooys
In this paper we show that if is a tangent category then the Ind-category is a tangent category as well with a tangent structure whi…