English

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

Metric Geometry 2017-04-05 v3 General Topology

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.

Cite

@article{arxiv.1301.3484,
  title  = {Asymptotic dimension, decomposition complexity, and Haver's property C},
  author = {Alexander Dranishnikov and Michael Zarichnyi},
  journal= {arXiv preprint arXiv:1301.3484},
  year   = {2017}
}

Comments

16 pages

R2 v1 2026-06-21T23:09:56.967Z