35 citations · 44 across the 9 of their papers we have counts for
9 papers
Fixed point theorems for topological contractions and the Hutchinson operator
Michał Morayne, Robert Rałowski
For a topological space a topological contraction on is a closed mapping such that for every open cover of there is a positive integer such that the imag…
A note on Hutchinson operator in compact topological spaces
Michał Morayne, Robert Rałowski
In compact topological spaces the Hutchinson operator of a contractive IFS (iterated function system; a finite family of closed mappings from the space into itself) may not b…
Automatic continuity, unique Polish topologies, and Zariski topologies on monoids and clones
L. Elliott, J. Jonušas, Z. Mesyan +3
In this paper we explore the extent to which the algebraic structure of a monoid determines the topologies on that are compatible with its multiplication. Specifically we s…
From directed path to linear order - the best choice problem for powers of directed path
Andrzej Grzesik, Michał Morayne, Małgorzata Sulkowska
We examine the evolution of the best choice algorithm and the probability of its success from a directed path to the linear order of the same cardinality through th powers of a…
Topological Graph Inverse Semigroups
Z. Mesyan, J. D. Mitchell, M. Morayne +1
To every directed graph one can associate a \emph{graph inverse semigroup} , where elements roughly correspond to possible paths in . These semigroups generalize polyc…
Topologically invariant -ideals on the Hilbert cube
Taras Banakh, Michal Morayne, Robert Ralowski +1
We study and classify topologically invariant -ideals with a Borel base on the Hilbert cube and evaluate their cardinal characteristics. One of the results of this paper solves…