Convergence and quantale-enriched categories

سال انتشار: 1397
نوع سند: مقاله ژورنالی
زبان: انگلیسی
مشاهده: 115

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شناسه ملی سند علمی:

JR_CGASAT-9-1_005

تاریخ نمایه سازی: 23 شهریور 1400

چکیده مقاله:

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) codirected completeness of the underlying quantale enriched category.

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نویسندگان

Dirk Hofmann

Center for Research and Development in Mathematics and Applications, Department of Mathematics, University of Aveiro, ۳۸۱۰-۱۹۳ Aveiro, Portugal.

Carla D. Reis

Polytechnic Institute of Coimbra, College of Management and Technology of Oliveira do Hospital, ۳۴۰۰-۱۲۴ Oliveira do Hospital, Portugal; and Center for Research and Development in Mathematics and Applications, University of Aveiro, Portugal.

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