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Closed subsets of the square whose inverse limit is the Hilbert cube

Volume 152 / 2018

Mauricio Chacon-Tirado, Verónica Martínez-de-la-Vega Colloquium Mathematicum 152 (2018), 29-44 MSC: Primary 54F15, 54H20, 54B10. DOI: 10.4064/cm6592-3-2017 Published online: 22 January 2018

Abstract

We exhibit a family of closed subsets of $[0,1]^2$ whose generalized inverse limit is homeomorphic to the Hilbert cube. We also study the inverse limits of the closed subsets of $[0,1]^2$ that are straight quadrilaterals.

Authors

  • Mauricio Chacon-TiradoFacultad de Ciencias Físico Matemáticas
    BUAP
    Avenida San Claudio y 18 Sur
    Colonia San Manuel
    72570 Puebla, Pue., Mexico
    e-mail
  • Verónica Martínez-de-la-VegaInstituto de Matemáticas
    Universidad Nacional Autónoma de México
    Circuito exterior, Cd. Universitaria
    Cd. de México, 04510 Mexico
    e-mail

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