On *-measure monads on the category of ultrametric spaces

被引：1

作者：

Sukhorukova, Kh. O. ^{[1
]}

Zarichnyi, M. M. ^{[1
]}

机构：

[1] Ivan Franko Lviv Natl Univ, 1 Univ Str, UA-79000 Lvov, Ukraine

来源：

CARPATHIAN MATHEMATICAL PUBLICATIONS | 2020年 / 14卷 / 02期

关键词：

ultrametric space; non-expanding map; *-measure; monad; equilibrium;

D O I：

10.15330/cmp.14.2.429-436

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The functor of *-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 de -fine the tensor product of *-measures. We consider some applications of this notion to equilibrium theory.

引用

页码：429 / 436

页数：8

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