University of Cambridge > > Category Theory Seminar > The relationship between pie, flexible and semiflexible limits.

The relationship between pie, flexible and semiflexible limits.

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

Pie limits are important in 2-category theory because although many important 2-categories fail to be complete, such as the 2-category of monoidal categories and strong monoidal functors, they do typically admit pie limits. Flexible and semiflexible limits were first considered as instances of the more general notions of flexible and semiflexible algebra.

Our aim is to describe the relationship between these different classes of limits in a number of ways: in terms of their good behaviour with respect to equivalences, and as various kinds of coalgebra for a comonad. This is joint work with Richard Garner.

This talk is part of the Category Theory Seminar series.

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