23 citations · 47 across the 11 of their papers we have counts for
13 papers
Invariant idempotent -measures for generalized iterated function systems
Natalia Mazurenko, Mykhailo Zarichnyi
The notion of -measure on a compact Hausdorff space can be defined for arbitrary continuous triangular norm . The well-known Hutchinson-Barnsley theory deals with the i…
90+ years of the Scottish Book
Stanisław Domoradzki, Małgorzata Stawiska, Mykhailo Zarichnyi
Inspired by the recent 90th anniversary of the Scottish Book we present some reflections about its impact. First we discuss new areas of mathematics it helped launch. Then we argue…
There is no universal proper metric spaces for asymptotic dimension 1
Mykhailo Zarichnyi
Answering a question of Ma, Siegert, and Dydak we show that there is no universal proper metric space for the asymptotic dimension .
Strong topology on the set of persistence diagrams
Volodymyr Kiosak, Aleksandr Savchenko, Mykhailo Zarichnyi
We endow the set of persistence diagrams with the strong topology (the topology of countable direct limit of increasing sequence of bounded subsets considered in the bottleneck dis…
Spaces of max-min measures on compact Hausdorff spaces
Viktoriya Brydun, Mykhailo Zarichnyi
The notion of max-min measure is a counterpart of the notion of max-plus measure (Maslov measure or idempotent measure). In this paper we consider the spaces of max-min measures on…
On convergence in the subpower Higson corona of metric spaces
Jacek Kucab, Mykhailo Zarichnyi
The subpower Higson corona of a proper metric space is defined in \cite{KZ}. We prove that, unlikely to the Higson corona, the closure of a -compact subset of the subpower Higso…