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.
Ching, A characterization of differential bundles in tangent categories, Applied Categorical Structures 32 (2024), no
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
citation-role summary
background 1
citation-polarity summary
fields
math.CT 1years
2025 1verdicts
CONDITIONAL 1roles
background 1polarities
support 1representative citing papers
citing papers explorer
-
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.