University of Cambridge > > Category Theory Seminar > Unwirings and exponentiability.

Unwirings and exponentiability.

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If you have a question about this talk, please contact Nathan Bowler.

A monad T may be intuitively thought of as specifying some constructions by means of which things can be combined together. An unwiring of an object A with respect to the monad T is, in this conceptual framework, a way to take the things in A apart according to the same constructions. Unwirings arise naturally as horizontal monads in the construction of categories of games using fc-multicategories. I’ll explain what an unwiring is, how they pick out a well-behaved class of exponentiable algebras, and why that is useful.

This talk is part of the Category Theory Seminar series.

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