Coarse dimensions and partitions of unity.

N. Brodskiy; J. Dydak

RACSAM (2008)

  • Volume: 102, Issue: 1, page 1-19
  • ISSN: 1578-7303

Abstract

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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.

How to cite

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Brodskiy, N., and Dydak, J.. "Coarse dimensions and partitions of unity.." RACSAM 102.1 (2008): 1-19. <http://eudml.org/doc/42005>.

@article{Brodskiy2008,
abstract = {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.},
author = {Brodskiy, N., Dydak, J.},
journal = {RACSAM},
keywords = {asymptotic dimension; coarse dimension; Lebesgue number; coarse category},
language = {eng},
number = {1},
pages = {1-19},
title = {Coarse dimensions and partitions of unity.},
url = {http://eudml.org/doc/42005},
volume = {102},
year = {2008},
}

TY - JOUR
AU - Brodskiy, N.
AU - Dydak, J.
TI - Coarse dimensions and partitions of unity.
JO - RACSAM
PY - 2008
VL - 102
IS - 1
SP - 1
EP - 19
AB - 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.
LA - eng
KW - asymptotic dimension; coarse dimension; Lebesgue number; coarse category
UR - http://eudml.org/doc/42005
ER -

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