کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4659689 1344333 2011 11 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
The prime dicompletion of a di-uniformity on a plain texture
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات هندسه و توپولوژی
پیش نمایش صفحه اول مقاله
The prime dicompletion of a di-uniformity on a plain texture
چکیده انگلیسی

Working within a plain texture (S,S), the authors construct a completion of a dicovering uniformity υ on (S,S) in terms of prime S-filters. In case υ is separated, a separated completion is then obtained using the T0-quotient, and it is shown that this construction produces a reflector. For a totally bounded di-uniformity it is verified that these constructions lead to dicompactifications of the uniform ditopology. A condition is given under which complementation is preserved on passing to these completions, and an example on the real texture (R,R,ρ) is presented.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Topology and its Applications - Volume 158, Issue 13, 15 August 2011, Pages 1584-1594