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Non-separating subcontinua of planar continua

Volume 141 / 2015

D. Daniel, C. Islas, R. Leonel, E. D. Tymchatyn Colloquium Mathematicum 141 (2015), 143-148 MSC: Primary 54F15; Secondary 54D05, 54B05. DOI: 10.4064/cm141-1-12

Abstract

We revisit an old question of Knaster by demonstrating that each non-degenerate plane hereditarily unicoherent continuum $X$ contains a proper, non-degenerate subcontinuum which does not separate $X$.

Authors

  • D. DanielDepartment of Mathematics
    Lamar University
    Beaumont, TX 77710, U.S.A.
    e-mail
  • C. IslasDepartment of Mathematics
    University of Saskatchewan
    Saskatoon, Saskatchewan, Canada S7N 0W0
    and
    Universidad Autónoma
    de la Ciudad de México
    México, Mexico
    e-mail
  • R. LeonelDepartment of Mathematics
    University of Saskatchewan
    Saskatoon, Saskatchewan, Canada S7N 0W0
    and
    Universidad Autónoma
    del Estado de Hidalgo
    Pachuca, Mexico
    e-mail
  • E. D. TymchatynDepartment of Mathematics
    University of Saskatchewan
    Saskatoon, Saskatchewan, Canada S7N 0W0
    e-mail

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