Geodesic
Notes on commutation of limits and colimits
Theory and applications of categories, Tome 30 (2015), pp. 527-532.

Voir la notice de l'article provenant de la source Theory and Applications of Categories website

We show that there are infinitely many distinct closed classes of colimits (in the sense of the Galois connection induced by commutation of limits and colimits in Set) which are intermediate between the class of pseudo-filtered colimits and that of all (small) colimits. On the other hand, if the corresponding class of limits contains either pullbacks or equalizers, then the class of colimits is contained in that of pseudo-filtered colimits.
Publié le :
Classification : 18A30, 18B05, 20J99
Keywords: Limit, colimit, filtered colimit, group action, simple group, Galois connection 
@article{TAC_2015_30_a14,
     author = {Marie Bjerrum and Peter Johnstone and Tom Leinster and William F. Sawin},
     title = {Notes on commutation of limits and colimits},
     journal = {Theory and applications of categories},
     pages = {527--532},
     publisher = {mathdoc},
     volume = {30},
     year = {2015},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TAC_2015_30_a14/}
}
TY  - JOUR
AU  - Marie Bjerrum
AU  - Peter Johnstone
AU  - Tom Leinster
AU  - William F. Sawin
TI  - Notes on commutation of limits and colimits
JO  - Theory and applications of categories
PY  - 2015
SP  - 527
EP  - 532
VL  - 30
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TAC_2015_30_a14/
LA  - en
ID  - TAC_2015_30_a14
ER  - 
%0 Journal Article
%A Marie Bjerrum
%A Peter Johnstone
%A Tom Leinster
%A William F. Sawin
%T Notes on commutation of limits and colimits
%J Theory and applications of categories
%D 2015
%P 527-532
%V 30
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TAC_2015_30_a14/
%G en
%F TAC_2015_30_a14
Marie Bjerrum; Peter Johnstone; Tom Leinster; William F. Sawin. Notes on commutation of limits and colimits. Theory and applications of categories, Tome 30 (2015), pp. 527-532. http://geodesic.mathdoc.fr/item/TAC_2015_30_a14/