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 |
2010-11-22T13:00:02Z |
dc.date.available |
2010-11-22T13:00:02Z |
dc.date.created |
2010-06 |
dc.date.issued |
2010-06 |
dc.identifier.uri |
http://hdl.handle.net/2072/96591 |
dc.format.extent |
37 |
dc.format.extent |
295932 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;951 |
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.subject.other |
Demostració, Teoria de la |
dc.title |
Monads in double categories |
dc.type |
info:eu-repo/semantics/preprint |
dc.subject.udc |
510 - Consideracions fonamentals i generals de les matemàtiques |
dc.description.abstract |
We extend the basic concepts of Street's formal theory of monads from the setting of 2-categories to that of double categories. In particular, we introduce the double category Mnd(C) of monads in a double category C and dene what it means for a double category to admit the construction of free monads. Our main theorem shows that, under some mild conditions, a double category that is a framed bicategory admits the construction of free monads if its horizontal 2-category does. We apply this result to obtain double adjunctions which extend the adjunction between graphs and categories and the adjunction between polynomial endofunctors and polynomial monads. |