M. Morayne

activity

20082023

most citedTopological Graph Inverse Semigroups

35 citations · 44 across the 9 of their papers we have counts for

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math.GN2023

Fixed point theorems for topological contractions and the Hutchinson operator

Michał Morayne, Robert Rałowski

For a topological space $X$ a topological contraction on $X$ is a closed mapping $f : X \to X$ such that for every open cover of $X$ there is a positive integer $n$ such that the imag…

math.GN2023

A note on Hutchinson operator in $T_{1}$ compact topological spaces

Michał Morayne, Robert Rałowski

In $T_{1}$ 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…

math.GN2008★ 3 cited

A Nonseparably Connected Metric Space as a Dense Connected Graph

Michal Morayne, Michal Ryszard Wojcik

We present a connected metric space that does not contain any nontrivial separable connected subspace. Our space is a dense connected graph of a function from the real line satisfy…

Fixed point theorems for topological contractions and the Hutchinson operator

A note on Hutchinson operator in T1​ compact topological spaces

A Nonseparably Connected Metric Space as a Dense Connected Graph

A note on Hutchinson operator in $T_{1}$ compact topological spaces