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Canonical covers and dimension of Z-sets in the Hilbert cube |
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| Authors: | E. Cuchillo-Ibá ñ ez M. A. Moró n |
| Affiliation: | Departamento Matemática Aplicada, E.T.S.I. Montes, Universidad Politécnica, 28040 Madrid, Spain ; Departamento Geometría y Topología, Facultad de Cc. Matemáticas, Universidad Complutense, 28040 Madrid, Spain |
| 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. |
| Keywords: | Compact Z-set canonical cover nerve of a cover covering dimension |
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