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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Canonical covers and dimension of Z-sets in the Hilbert cube
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by E. Cuchillo-Ibáñez and M. A. Morón PDF
Proc. Amer. Math. Soc. 136 (2008), 3709-3716 Request permission

Abstract:

In this paper we characterize the finite dimensionality of a compact Z-set in the Hilbert cube in terms of the existence of a particular canonical cover in its complement.
References
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Additional Information
  • E. Cuchillo-Ibáñez
  • Affiliation: Departamento Matemática Aplicada, E.T.S.I. Montes, Universidad Politécnica, 28040 Madrid, Spain
  • Email: eduardo.cuchillo@upm.es
  • M. A. Morón
  • Affiliation: Departamento Geometría y Topología, Facultad de Cc. Matemáticas, Universidad Complutense, 28040 Madrid, Spain
  • Email: ma_moron@mat.ucm.es
  • Received by editor(s): October 12, 2006
  • Received by editor(s) in revised form: August 20, 2007
  • Published electronically: May 7, 2008
  • Additional Notes: The authors were supported by the MEC, MTM2006-0825.
  • Communicated by: Alexander N. Dranishnikov
  • © Copyright 2008 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 136 (2008), 3709-3716
  • MSC (2000): Primary 54F45, 52B11; Secondary 54E15
  • DOI: https://doi.org/10.1090/S0002-9939-08-09413-6
  • MathSciNet review: 2415059