Injective symmetric quantaloid-enriched categories
Theory and applications of categories, Tome 39 (2023), pp. 1050-1076
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We characterize injective objects, injective hulls and essential embeddings in the category of symmetric categories enriched in a small, integral and involutive quantaloid. In particular, injective partial metric spaces are precisely formulated.
Publié le :
Classification :
18D20, 18A20, 18F75
Keywords: quantaloid, enriched category, symmetry, injective object, injective hull, essential embedding, Ω-set, partial metric space
Keywords: quantaloid, enriched category, symmetry, injective object, injective hull, essential embedding, Ω-set, partial metric space
@article{TAC_2023_39_a34,
author = {Lili Shen and Hang Yang},
title = {Injective symmetric quantaloid-enriched categories},
journal = {Theory and applications of categories},
pages = {1050--1076},
publisher = {mathdoc},
volume = {39},
year = {2023},
language = {en},
url = {http://geodesic.mathdoc.fr/item/TAC_2023_39_a34/}
}
Lili Shen; Hang Yang. Injective symmetric quantaloid-enriched categories. Theory and applications of categories, Tome 39 (2023), pp. 1050-1076. http://geodesic.mathdoc.fr/item/TAC_2023_39_a34/