|
|
|
|
convergence and quantale-enriched categories
|
|
|
|
|
|
|
|
نویسنده
|
hofmann dirk ,d. reis carla
|
|
منبع
|
categories and general algebraic structures with applications - 2018 - دوره : 9 - شماره : 1 - صفحه:77 -138
|
|
چکیده
|
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 haus- dorff 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.
|
|
کلیدواژه
|
ordered compact hausdorff space ,metric space ,approach space ,sober space ,cauchy completness ,quantale-enriched category
|
|
آدرس
|
university of aveiro, center for research and development in mathematics and applications, department of mathematics, portugal, university of aveiro, polytechnic institute of coimbra, college of management and technology ofoliveira do hospital, center for research and developmentin mathematics and applications, portugal
|
|
پست الکترونیکی
|
carla.reis@estgoh.ipc.pt
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Authors
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|