Centre for Mathematics, University of Coimbra

<Reference List>
Type:	Preprint
National /International:	International
Title:	D-Ultrafilters and their monads
Publication Date:	2019-09-10
Authors:	- Jirí Adámek - Lurdes Sousa
Abstract:	For a number of locally finitely presentable categories K we describe the codensity monad of the full embedding of all finitely presentable objects into K. We introduce the concept of D-ultrafilter on an object, where D is a “nice” cogenerator of K. We prove that the codensity monad assigns to every object an object representing all D-ultrafilters on it. Our result covers e.g. categories of sets, vector spaces, posets, semilattices, graphs and M-sets for finite commutative monoids M.
Institution:	DMUC 19-30
Online version:	http://www.mat.uc.pt...prints/eng_2019.html
Download:	Not available