Coarse dimensions and partitions of unity.
Brodskiy, N. ; Dydak, J.
RACSAM, Tome 102 (2008), p. 1-19 / Harvested from Biblioteca Digital de Matemáticas
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Gromov and Dranishnikov introduced asymptotic and coarse dimensions of proper metric spaces via quite different ways. We define coarse and asymptotic dimension of all metric spaces in a unified manner and we investigate relationships between them generalizing results of Dranishnikov and Dranishnikov-Keesling-Uspienskij.

Gromov y Dranishnikov han introducido dimensiones asintóticas y a gran escala para espacios métricos propios de varias formas diferentes. Nosotros definimos dimensiones a gran escala y asintóticas para todos los espacios métricos de modo unificado e investigamos las relaciones entre ellas, generalizando resultados de Dranishnikov y Dranishnikov-Keesling-Uspienskij

Publié le : 2008-01-01
DMLE-ID : 4473 
@article{urn:eudml:doc:42005,
     title = {Coarse dimensions and partitions of unity.},
     journal = {RACSAM},
     volume = {102},
     year = {2008},
     pages = {1-19},
     zbl = {1162.54015},
     language = {en},
     url = {http://dml.mathdoc.fr/item/urn:eudml:doc:42005}
}

Brodskiy, N.; Dydak, J. Coarse dimensions and partitions of unity.. RACSAM, Tome 102 (2008) pp. 1-19. http://gdmltest.u-ga.fr/item/urn:eudml:doc:42005/