Completion of categories

Nicolae Popescu and Liliana Popescu
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Nicolae Popescu: National Institute for Scientific and Technical Creation
Liliana Popescu: University of Bucharest

Chapter Chapter 2 in Theory of categories, 1979, pp 149-217 from Springer

Abstract: Abstract Let be functors. We know that the class [F, G] of all functorial morphisms from F into G is not always a set, so that we can not speak in general about the category of all functors from into et. But instead of all functors from into we can consider only so-called proper functors, which were defined by Isbell [3]. In this way we can define a category , the category of all proper functors from into . This category contains as a full subcategory and it coincides with the category in the case when is a small category.

Keywords: Ordinal Number; Full Subcategory; Small Category; Unique Morphism; Faithful Functor (search for similar items in EconPapers)
Date: 1979
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DOI: 10.1007/978-94-009-9550-5_2

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