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Fuzzy metrization of the spaces of idempotent measures

Prelegent(ci)
Viktoriia Brydun
Afiliacja
Lviv National University
Termin
10 października 2018 16:15
Pokój
p. 5050
Seminarium
Seminarium „Topologia i teoria mnogości”

The talk will be dedicated to idempotent mathematics (better known as tropical mathematics) and category theory.
 
The idempotent measures (Maslov measures) are counterparts of the probability measures in the idempotent mathematics.  The main result provides a fuzzy metrization of  the sets of idempotent measures on a fuzzy metric space and, moreover, this fuzzy metrization determines a monad in the category of fuzzy metric spaces and non-expanding maps.