Dualities via splitting idempotents

Description:  In 1994, R. Rosebrugh and R. Wood showed that the category of complete distributive complete lattices and suprema preserving maps is equivalent to the idempotent split completion of the category of sets and relations; and ten years later they observed that this result is not really about lattices but rather a special case of a much more general result about ``a mere monad on a mere category where idempotents split''. In this talk we will expand on this result, consider then in particular Filter monads and Vietoris monads on topological spaces, and show how these techniques can be used to prove variations of Isbell, Stone, Priestley and Esakia dualities. Date:  2012-06-28 Start Time:   15:00 Speaker:  Dirk Hofmann (U. Aveiro) Institution:  Universidade de Aveiro Place:  Sala 5.5 Research Groups: -Algebra, Logic and Topology See more:   <Main>