کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
8903932 | 1633033 | 2018 | 26 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Semicontinuity of betweenness functions
ترجمه فارسی عنوان
نیمه عمر توابع بینایی
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
هندسه و توپولوژی
چکیده انگلیسی
A ternary relational structure ãX,[â
,â
,â
]ã, interpreting a notion of betweenness, gives rise to the family of intervals, with interval [a,b] being defined as the set of elements of X between a and b. Under very reasonable circumstances, X is also equipped with some topological structure, in such a way that each interval is a closed nonempty subset of X. The question then arises as to the continuity behavior-within the hyperspace context-of the betweenness function {x,y}â¦[x,y]. We investigate two broad scenarios: the first involves metric spaces and Menger's betweenness interpretation; the second deals with continua and the subcontinuum interpretation.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Topology and its Applications - Volume 246, 1 September 2018, Pages 22-47
Journal: Topology and its Applications - Volume 246, 1 September 2018, Pages 22-47
نویسندگان
Paul Bankston, Aisling McCluskey, Richard J. Smith,