Michał Morayne

Mathematics · Physical Sciences

13h-index431citations79works0.02yr avg
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Research Topics

Advanced Topology and Set Theory(35), Mathematical Dynamics and Fractals(15), Optimization and Search Problems(13), Computability, Logic, AI Algorithms(12), Functional Equations Stability Results(9)

Publications79 total

Fixed point theorems for topological contractions and the Hutchinson operator
Bulletin de la Société mathématique de France·2026Open Access
Automatic continuity, unique Polish topologies, and Zariski topologies on monoids and clones
Transactions of the American Mathematical Society·2023· 3 citedOpen Access
A note on Hutchinson operator in $\mathbf{T_1}$ compact topological spaces
arXiv (Cornell University)·2023Open Access
The Baire theorem, an analogue of the Banach fixed point theorem and attractors in T1 compact spaces
Bulletin des Sciences Mathématiques·2023
Secretary problem with hidden information; searching for a high merit candidate
Advances in Applied Mathematics·2022· 1 cited
On 𝑇<sub>1</sub>- and 𝑇<sub>2</sub>-productable compact spaces
Georgian Mathematical Journal·2022
A fiberable continuum which is not nontrivially productable II
Topology and its Applications·2021· 1 cited
A fiberable continuum which is not nontrivially productable
Topology and its Applications·2021· 2 cited
Automatic continuity, unique Polish topologies, and Zariski topologies (part I, monoids)
arXiv (Cornell University)·2019· 2 citedOpen Access
Automatic continuity and uniqueness of Polish semigroup topologies
arXiv (Cornell University)·2019· 1 citedOpen Access
Automatic continuity, unique Polish topologies, and Zariski topologies on monoids and clones
arXiv (Cornell University)·2019· 2 citedOpen Access
Tail probabilities of a random walk on an interval
Communication in Statistics- Theory and Methods·2019
Images of Bernstein sets via continuous functions
Georgian Mathematical Journal·2019· 4 cited
An example of a capacity for which all positive Borel sets are thick
Bulletin des Sciences Mathématiques·2019
A stronger form of countable dense homogeneity of the plane
Topology and its Applications·2018· 1 cited
Maximizing survival time in a random walk on an interval
Stochastic Models·2018· 1 cited
Czesław Ryll-Nardzewski (1926-2015)
Wiadomości Matematyczne·2016
Topological graph inverse semigroups
Topology and its Applications·2016· 33 citedOpen Access
Random Hypergraph Irregularity
SIAM Journal on Discrete Mathematics·2016· 2 cited
Topologically invariant σ-ideals on the Hilbert cube
Israel Journal of Mathematics·2015· 1 cited
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Frequent Co-authors

Jacek Cichoń(10), James D. Mitchell(9), Y. Péresse(7), Małgorzata Kuchta(6), Grzegorz Kubicki(5), Jenő Lehel(5), Zachary Mesyan(4), Robert Rałowski(4), Jarosław Niemiec(3), C. Ryll–Nardzewski(3), L. Elliott(3), Julius Jonušas(3), Szymon Żeberski(2), Paul Balister(2), Béla Bollobás(2), Michał Ryszard Wójcik(2), Janusz Pawlikowski(1), Sławomir Solecki(1), Nicholas Georgiou(1), Peter M. Higgins(1)