A+ CATEGORY SCIENTIFIC UNIT

Universal completely regular dendrites

Volume 103 / 2005

K. Omiljanowski, S. Zafiridou Colloquium Mathematicum 103 (2005), 149-154 MSC: 54C25, 54F50. DOI: 10.4064/cm103-1-15

Abstract

We define a dendrite $E_{\{n\}}$ which is universal in the class of all completely regular dendrites with order of points not greater than $n$. In particular, the dendrite $E_{\{\omega\}}$ is universal in the class of all completely regular dendrites. The construction starts with the standard universal dendrite $D_{\{n\}}$ of order $n$ described by J. J. Charatonik.

Authors

  • K. OmiljanowskiInstitute of Mathematics
    University of Wrocław
    Pl. Grunwaldzki 2/4
    50-384 Wrocław, Poland
    e-mail
  • S. ZafiridouDepartment of Mathematics
    Faculty of Science
    University of Patras
    26500 Patras, Greece
    e-mail

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