Embedding of a planar rational compactum into a planar continuum with the same rim-type

Volume 168 / 2001

Sophia Zafiridou Fundamenta Mathematicae 168 (2001), 113-118 MSC: 54C25, 54F50. DOI: 10.4064/fm168-2-2


We prove that every planar rational compactum with rim-type $\le \alpha $, where $\alpha $ is a countable ordinal greater than 0, can be topologically embedded into a planar rational (locally connected) continuum with rim-type $\le \alpha $.


  • Sophia ZafiridouDepartment of Mathematics
    University of Patras
    26500 Patras, Greece

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