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