Asymptotic dimension, decomposition complexity, and Haver's property C

Alexander Dranishnikov; Michael Zarichnyi

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arXiv · 1301.3484

Asymptotic dimension, decomposition complexity, and Haver's property C

Alexander Dranishnikov·Michael Zarichnyi

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Abstract

The notion of the decomposition complexity was introduced in \cite{GTY} using a game theoretical approach. We introduce a notion of straight decomposition complexity and compare it with the original as well with the asymptotic property C. Then we define a game theoretical analog of Haver's property C in the classical dimension theory and compare it with the original.

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Alexander Dranishnikov, Michael Zarichnyi. 2013-01-15. Asymptotic dimension, decomposition complexity, and Haver's property C. https://arxiv.org/abs/1301.3484

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