Geodesic
Completely distributive enriched categories are not always continuous
Theory and applications of categories, Tome 35 (2020), pp. 64-88

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

In contrast to the fact that every completely distributive lattice is necessarily continuous in the sense of Scott, it is shown that complete distributivity of a category enriched over the closed category obtained by endowing the unit interval with a continuous t-norm does not imply its continuity in general. Necessary and sufficient conditions for the implication are presented.

Publié le :
Classification : 18B35, 18D20, 06D10, 06F07
Keywords: Enriched category, continuous t-norm, forward Cauchy weight, distributive law, completely distributive quantale-enriched category, continuous quantale-enriched category 
@article{TAC_2020_35_a2,
     author = {Hongliang Lai and Dexue Zhang},
     title = {Completely distributive enriched categories  are not always continuous},
     journal = {Theory and applications of categories},
     pages = {64--88},
     publisher = {mathdoc},
     volume = {35},
     year = {2020},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TAC_2020_35_a2/}
}
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Hongliang Lai; Dexue Zhang. Completely distributive enriched categories  are not always continuous. Theory and applications of categories, Tome 35 (2020), pp. 64-88. http://geodesic.mathdoc.fr/item/TAC_2020_35_a2/