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

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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 
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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/