التفاصيل البيبلوغرافية
| العنوان: |
On monoids of metric preserving functions. |
| المؤلفون: |
Bilet, Viktoriia, Dovgoshey, Oleksiy, Bisht, Ravindra K., Turobos, Filip |
| المصدر: |
Frontiers in Applied Mathematics & Statistics; 2024, p1-8, 8p |
| مصطلحات موضوعية: |
MONOIDS, COMMERCIAL space ventures |
| مستخلص: |
Let X be a class of metric spaces and let Px be the set of all f: [0, oo) [0, oo) preserving X, i.e., (/, f o p) e X whenever (/, p) e X. For arbitrary subset A of the set of all metric preserving functions, we show that the equality Px = A has a solution if A is a monoid with respect to the operation of function composition. In particular, for the set SI of all amenable subadditive increasing functions, there is a class X of metric spaces such that Px = SI holds. 2020 Mathematics Subject Classification: Primary 26A30, Secondary 54E35, 20M20 [ABSTRACT FROM AUTHOR] |
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