کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
5777911 | 1633057 | 2017 | 15 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Maximal classes of spaces and domains determined by topologies on function spaces of domains
ترجمه فارسی عنوان
کلاس های حداکثر فضاهای و حوزه های تعیین شده توسط توپولوژی ها در فضاهای تابع دامنه ها
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
هندسه و توپولوژی
چکیده انگلیسی
In this paper, inspired by the work of Lawson and Xu, we consider the question of what classes A of topological spaces should be paired with classes B of domains in order that the Isbell and Scott topologies on function spaces [AâB] are identical for AâA and BâB. It is shown that: (1) if A and B are restricted to be a class of core compact spaces and a class of bicomplete domains respectively, a class of core compact and compact spaces is paired with a class of conditionally bounded complete domains; (2) if A and B are restricted to be a class of core compact and locally connected spaces and a class of bicomplete domains respectively, a class of topological spaces called RW-spaces (with finitely many connected components), which was first introduced by Kou and Luo and further studied by Lawson and Xu later, is paired with a class of pointed L-domains (disjoint union of pointed L-domains). This also gives a solution to a problem posed by Kou and Luo.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Topology and its Applications - Volume 222, 15 May 2017, Pages 278-292
Journal: Topology and its Applications - Volume 222, 15 May 2017, Pages 278-292
نویسندگان
Xiaoyong Xi, Han Liu, Weng Kin Ho, Dongsheng Zhao,