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Canonical covers and dimension of Z-sets in the Hilbert cube
Author(s):
E.
Cuchillo-Ibáñez;
M.
A.
Morón
Journal:
Proc. Amer. Math. Soc.
136
(2008),
3709-3716.
MSC (2000):
Primary 54F45, 52B11;
Secondary 54E15
Posted:
May 7, 2008
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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
DOI:
10.1090/S0002-9939-08-09413-6
PII:
S 0002-9939(08)09413-6
Keywords:
Compact Z-set,
canonical cover,
nerve of a cover,
covering dimension
Received by editor(s):
October 12, 2006,
Received by editor(s) in revised form:
August 20, 2007
Posted:
May 7, 2008
Additional Notes:
The authors were supported by the MEC, MTM2006-0825.
Communicated by:
Alexander N. Dranishnikov
Copyright of article:
Copyright
2008,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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