Dimension-raising maps in a large scale

Takahisa Miyata; Žiga Virk

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Displaying similar documents to “Dimension-raising maps in a large scale”

Addition and subspace theorems for asymptotic large inductive dimension

T. Radul (2006)

Colloquium Mathematicae

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We prove the addition and subspace theorems for asymptotic large inductive dimension. We investigate a transfinite extension of this dimension and show that it is trivial.

Coarse dimensions and partitions of unity.

N. Brodskiy, J. Dydak (2008)

RACSAM

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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.