Enriched duality in double categories: V-categories and V-cocategories
نویسندگان
چکیده
منابع مشابه
Convergence and quantale-enriched categories
Generalising Nachbin's theory of ``topology and order'', in this paper we continue the study of quantale-enriched categories equipped with a compact Hausdorff topology. We compare these $V$-categorical compact Hausdorff spaces with ultrafilter-quantale-enriched categories, and show that the presence of a compact Hausdorff topology guarantees Cauchy completeness and (suitably defined) ...
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Article history: Received 27 November 2012 Received in revised form 4 September 2013 Accepted 20 December 2013 Communicated by B.P.F. Jacobs
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Throughout the book Homological algebra, by H. Cartan and S. Eilenberg, the authors dealt with functors defined on categories of modules over certain rings and whose values again were modules over a ring. It will be shown in this paper that the theory may be generalized to functors defined on abstract categories, and whose values are again in such abstract categories. An abstract treatment such...
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ژورنال
عنوان ژورنال: Journal of Pure and Applied Algebra
سال: 2019
ISSN: 0022-4049
DOI: 10.1016/j.jpaa.2018.10.003