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Fuzzy metrization of the spaces of idempotent measures

Speaker(s)
Viktoriia Brydun
Affiliation
Lviv National University
Date
Oct. 10, 2018, 4:15 p.m.
Room
room 5050
Seminar
Topology and Set Theory Seminar

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.