In any tangent category satisfying the p-carrable and 0-carrable conditions, the relative tangent bundle is the kernel of the horizontal descent, yielding a relative cotangent sequence that recovers the classical algebraic and differential geometric sequences.
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Important Classes of Morphisms and the Relative Cotangent Sequence in Tangent Categories
In any tangent category satisfying the p-carrable and 0-carrable conditions, the relative tangent bundle is the kernel of the horizontal descent, yielding a relative cotangent sequence that recovers the classical algebraic and differential geometric sequences.