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University of Cambridge > Talks.cam > Category Theory Seminar > Elementary embeddings for category theory

## Elementary embeddings for category theoryAdd to your list(s) Download to your calendar using vCal - Andrew Brooke-Taylor (University of Leeds)
- Tuesday 13 March 2018, 14:15-15:15
- MR5, Centre for Mathematical Sciences.
If you have a question about this talk, please contact Tamara von Glehn. Elementary embeddings do crop up in category theory, but are often viewed as being simply convenient morphisms of the category in question. In set theory much more is made of them, in particular in the context of large cardinal axioms, where elementary embeddings of the whole set-theoretic universe are used to characterise the large cardinals. In this talk I will show how some of the power of elementary embeddings can be used in a category theory context. In particular, I will use this perspective in presenting a result with Joan Bagaria, in which we reduce the large cardinal assumption required to show that a (definable) full embedding into an accessible category must preserve lambda-directed colimits for some lambda. This talk is part of the Category Theory Seminar series. ## This talk is included in these lists:- All CMS events
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