## Geometric constructions preserving fibrationsAdd to your list(s) Download to your calendar using vCal - Dr Steve Vickers (School of Computer Science, University of Birmingham)
- Monday 28 April 2014, 13:00-14:00
- CS 217.
If you have a question about this talk, please contact Neel Krishnaswami. Let ๐ be a representable 2-category, and ๐โข a 2-endofunctor of the arrow 2-category ๐โ such that (i) cod ๐โข = cod: ๐โ โ ๐ and (ii) ๐โข preserves proneness (cartesianness) of morphisms in ๐โ. Then ๐โข preserves fibrations and opfibrations in ๐. The proof takes Street’s characterization of (e.g.) opfibrations as pseudoalgebras for 2-monads ๐B on slice categories ๐/B and develops it by defining a 2-monad ๐โข on ๐โ that takes change of base into account, and uses known results on the lifting of 2-functors to pseudoalgebras. This talk is part of the Lab Lunch series. ## This talk is included in these lists:- CS 217
- Computer Science Departmental Series
- Computer Science Distinguished Seminars
- Lab Lunch
- Theoretical computer science seminar
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