关于超度量空间范畴上的$\ast$-measure单子

IF 1 Q1 MATHEMATICS

Carpathian Mathematical Publications Pub Date : 2022-12-30 DOI:10.15330/cmp.14.2.429-436

Kh.O. Sukhorukova, M. Zarichnyǐ

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引用次数: 1

摘要

超度量空间和非展开映射范畴上的紧支撑测度的函子在作者先前的文章中已经被引入。在本论文中，我们证明了这个函子决定了这个范畴上的单子。单元结构允许我们定义$\ast$-测度的张量积。我们考虑了这一概念在均衡理论中的一些应用。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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On $\ast$-measure monads on the category of ultrametric spaces

The functor of $\ast$-measures of compact support on the category of ultrametric spaces and non-expanding maps is introduced in the previous publication of the authors. In the present note, we prove that this functor determines a monad on this category. The monad structure allows us to define the tensor product of $\ast$-measures. We consider some applications of this notion to equilibrium theory.

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来源期刊

Carpathian Mathematical Publications MATHEMATICS-

CiteScore

1.90

自引率

12.50%

发文量

审稿时长

25 weeks