On idempotent convexities and idempotent barycenter maps

被引:1
|
作者
Krasinski, Dawid [1 ]
Radul, Taras [1 ,2 ]
机构
[1] Kazimierz Wielki Univ Bydgoszcz, Inst Math, Bydgoszcz, Poland
[2] Ivan Franko Natl Univ Lviv, Dept Mech & Math, Univ Sytettska st 1, UA-79000 Lvov, Ukraine
关键词
Idempotent measure; Barycenter map; Convexity; Open map; Soft map; GEOMETRY;
D O I
10.1016/j.topol.2024.108974
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We consider an isomorphism between the idempotent convexity based on the maximum and the addition operations and the idempotent measure convexity on the maximum and the multiplication operations. We use this isomorphism to investigate topological properties of the barycenter map related to the maximum and the multiplication operations. (c) 2024 Elsevier B.V. All rights are reserved, including those for text and data mining, AI training, and similar technologies.
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页数:8
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