کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4657910 1633073 2016 10 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Function spaces from coherent continuous domains to RB-domains
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات هندسه و توپولوژی
پیش نمایش صفحه اول مقاله
Function spaces from coherent continuous domains to RB-domains
چکیده انگلیسی

In this paper, continuing the work of the first and third authors, we study the function spaces from coherent continuous domains to RB-domains. Firstly, we prove that the function spaces from coherent core compact spaces with compact open sets as a basis to bifinite domains (algebraic RB-domains) are algebraic. As an application, we give an example which shows that a function space from a coherent quasi-algebraic domain to a finite domain might not be coherent. Finally, we show that the function space from a coherent continuous domain to an RB-domain is an RB-domain. Particularly, a function space from an FS-domain (introduced by Achim Jung) to an RB-domain is an RB-domain. This addresses an old open problem of whether FS-domains are RB-domains.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Topology and its Applications - Volume 206, 15 June 2016, Pages 148–157
نویسندگان
, , ,