Kan injectivity in order-enriched categories

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چکیده

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Kan injectivity in order-enriched categories

Continuous lattices were characterised by Mart́ın Escardó as precisely the objects that are Kan-injective w.r.t. a certain class of morphisms. We study Kan-injectivity in general categories enriched in posets. An example: ω-CPO’s are precisely the posets that are Kan-injective w.r.t. the embeddings ω →֒ ω + 1 and 0 →֒ 1. For every class H of morphisms we study the subcategory of all objects Kan-in...

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ژورنال

عنوان ژورنال: Mathematical Structures in Computer Science

سال: 2014

ISSN: 0960-1295,1469-8072

DOI: 10.1017/s0960129514000024