On ∗-measure monads on the category of ultrametric spaces.

Autor: Sukhorukova, Kh. O., Zarichnyi, M. M.
Předmět:
Zdroj: Carpathian Mathematical Publications / Karpats'kì Matematičnì Publìkacìï; 2022, Vol. 14 Issue 2, p429-436, 8p
Abstrakt: 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 define the tensor product of ∗-measures. We consider some applications of this notion to equilibrium theory. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index