کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
5778004 1633058 2017 17 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Topological and geometrical properties of spaces with symmetric and nonsymmetric f-quasimetrics
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات هندسه و توپولوژی
پیش نمایش صفحه اول مقاله
Topological and geometrical properties of spaces with symmetric and nonsymmetric f-quasimetrics
چکیده انگلیسی
The properties of spaces equipped with a topology defined by a distance function are studied. The considered distance function is not necessarily symmetric but satisfies the so-called f-triangle inequality, which is a weakened version of the usual triangle inequality. Sufficient conditions for metrizability of such spaces are proposed. A construction of a quasimetric topologically equivalent to a given f-quasimetric is proposed.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Topology and its Applications - Volume 221, 15 April 2017, Pages 178-194
نویسندگان
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