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Matematicheskie Zametki, 2023, Volume 114, Issue 5, paper published in the English version journal (Mi mzm12850)  
Papers published in the English version of the journal

Line Transversals to Disjoint Disks

E. González Arreola, J. Jeronimo-Castro

Facultad de Ingenieria, Universidad Autónoma de Querétaro
Abstract: The main purpose of this paper is to prove the following result: Let $\mathcal F$ be a $\sqrt 2$-disjoint finite family of disks with the property that every four of them have a common line transversal. Then there exists a line transversal to all members of $\mathcal F$. Moreover, we prove that the number $\sqrt 2$ is sharp.
Keywords: line, transversal, disk, disjointness.
Received: 24.07.2020
Revised: 19.02.2023
English version:
Mathematical Notes, 2023, Volume 114, Issue 5, Pages 779–784
DOI: https://doi.org/10.1134/S0001434623110135
Bibliographic databases:
Document Type: Article
MSC: 52A35
Language: English
Citation: E. González Arreola, J. Jeronimo-Castro, “Line Transversals to Disjoint Disks”, Math. Notes, 114:5 (2023), 779–784
Citation in format AMSBIB
\Bibitem{GonJer23}
\by E.~Gonz\'alez Arreola, J.~Jeronimo-Castro
\paper Line Transversals to Disjoint Disks
\jour Math. Notes
\yr 2023
\vol 114
\issue 5
\pages 779--784
\mathnet{http://mi.mathnet.ru/mzm12850}
\crossref{https://doi.org/10.1134/S0001434623110135}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85187703126}
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