Remarks on straight finite decomposition complexity
Dranišnikov, Aleksandr N., 1958- ; Zarichnyi, Michael, 1958-
In their previous paper [A. Dranishnikov, M. Zarichnyi, Asymptotic dimension, decomposition complexity, and Haver's property C, Topol. Appl. 169 (2014) 99-107], the authors introduced the straight ...(non-game-theoretic) counterpart of the finite decomposition complexity defined by E. Guentner, R. Tessera, G. Yu. In the present paper, we correct a proof of a statement from [A. Dranishnikov, M. Zarichnyi, Asymptotic dimension, decomposition complexity, and Haver's property C, Topol. Appl. 169 (2014) 99-107] that the straight finite decomposition complexity implies Property A. We also discuss a dimensional-like ordinal-valued invariant related to the straight finite decomposition complexity.
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