dc.contributor |
Centre de Recerca Matemàtica |
dc.contributor.author |
Fiore, Thomas M. |
dc.contributor.author |
Gambino, Nicola |
dc.contributor.author |
Kock, Joachim |
dc.date.accessioned |
2011-09-07T11:35:58Z |
dc.date.available |
2011-09-07T11:35:58Z |
dc.date.created |
2010-12 |
dc.date.issued |
2010-12 |
dc.identifier.uri |
http://hdl.handle.net/2072/169474 |
dc.format.extent |
41 |
dc.format.extent |
362515 bytes |
dc.format.mimetype |
application/pdf |
dc.language.iso |
eng |
dc.publisher |
Centre de Recerca Matemàtica |
dc.relation.ispartofseries |
Prepublicacions del Centre de Recerca Matemàtica;1000 |
dc.rights |
Aquest document està subjecte a una llicència d'ús de Creative Commons, amb la qual es permet copiar, distribuir i comunicar públicament l'obra sempre que se'n citin l'autor original, la universitat i el centre i no se'n faci cap ús comercial ni obra derivada, tal com queda estipulat en la llicència d'ús (http://creativecommons.org/licenses/by-nc-nd/2.5/es/) |
dc.subject.other |
Categories (Matemàtica) |
dc.title |
Double adjunctions |
dc.type |
info:eu-repo/semantics/preprint |
dc.subject.udc |
512 - Àlgebra |
dc.description.abstract |
We characterize double adjunctions in terms of presheaves and universal squares, and then apply these characterizations to free monads and Eilenberg-Moore objects in double categories. We improve upon an earlier result of Fiore-Gambino-Kock in [7] to conclude: if a double category with cofolding admits the construction of free monads in its horizontal 2-category, then it also admits the construction of free monads as a double category horizontally and vertically, and also in its vertical 2-category. We also prove that a double category admits Eilenberg-Moore objects if and only if a certain parameterized presheaf is representable. Along the way, we develop parameterized presheaves on double categories and prove a double Yoneda Lemma. |