کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4660332 | 1344362 | 2009 | 12 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
The B-completion of a T0-quasi-metric space
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
هندسه و توپولوژی
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چکیده انگلیسی
We continue our study of the conjugate invariant method for completing an arbitrary T0-quasi-metric space which we have introduced in an earlier article under the name of the B-completion. We present examples that show that B-completeness of quasi-pseudometric spaces is not preserved under quasi-uniform isomorphisms. This leads to investigations of how some well-known operations applied to quasi-pseudometrics affect balancedness of their Cauchy filter pairs. We also observe that the B-completion of a totally bounded T0-quasi-metric space is totally bounded, but can be strictly larger than the bicompletion.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Topology and its Applications - Volume 156, Issue 12, 1 July 2009, Pages 2070-2081
Journal: Topology and its Applications - Volume 156, Issue 12, 1 July 2009, Pages 2070-2081