4 problems
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The antiderivatives and FTC-pairs correspondence conjecture for differential categories
Antiderivatives and FTC-pairs conjecture. It should be possible to strengthen the known connection and obtain a correspondence between having antiderivatives and having every (co)f…
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Tangent-category conjecture for Kleisli categories of non-differential monads
Let be a monad whose functor does not preserve the Cartesian -linear structure, so that its Kleisli category may fail to be a Cartesian differential category. Tange…
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Candidate integral combinator transformation for Zinbiel algebras
Zinbiel integral transformation conjecture. In the case of Zinbiel algebras, the transformation defined on tensors by
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Integral combinator transformation conjecture for Cartesian differential comonads
Integral combinator transformation conjecture. Integration in this setting should be captured by such an integral combinator transformation. Its axioms should be analogous to those…