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math.CT2011★ 5 cited
Totally distributive toposes
Rory B. B. Lucyshyn-Wright
A locally small category E is totally distributive (as defined by Rosebrugh-Wood) if there exists a string of adjoint functors t -| c -| y, where y : E --> E^ is the Yoneda embeddi…
math.CT2011★ 7 cited
Algebraic theory of vector-valued integration
Rory B. B. Lucyshyn-Wright
We define a monad M on a category of measurable bornological sets, and we show how this monad gives rise to a theory of vector-valued integration that is related to the notion of P…