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  Regular finite decomposition complexity

Kasprowski, D., Nicas, A., & Rosenthal, D. (2019). Regular finite decomposition complexity. Journal of Topology and Analysis, 11(3), 691-719. doi:10.1142/S1793525319500286.

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Item Permalink: https://hdl.handle.net/21.11116/0000-0004-A67F-3 Version Permalink: https://hdl.handle.net/21.11116/0000-0004-A682-D
Genre: Journal Article

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arXiv:1608.04516.pdf (Preprint), 343KB
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 Creators:
Kasprowski, Daniel1, Author           
Nicas, Andrew, Author
Rosenthal, David, Author
Affiliations:
1Max Planck Institute for Mathematics, Max Planck Society, ou_3029201              

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Free keywords: Mathematics, Metric Geometry, math.MG,Mathematics, Algebraic Topology, math.AT,Mathematics, Geometric Topology, math.GT,Mathematics, K-Theory and Homology, math.KT
 Abstract: We introduce the notion of regular finite decomposition complexity of a metric family. This generalizes Gromov's finite asymptotic dimension and is motivated by the concept of finite decomposition complexity (FDC) due to
Guentner, Tessera and Yu. Regular finite decomposition complexity implies FDC and has all the permanence properties that are known for FDC, as well as a new one called Finite Quotient Permanence. We show that for a collection containing all metric families with finite asymptotic dimension all other permanence properties follow from Fibering Permanence.

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Language(s): eng - English
 Dates: 2019
 Publication Status: Issued
 Pages: 29
 Publishing info: -
 Table of Contents: -
 Rev. Type: Peer
 Identifiers: arXiv: 1608.04516
DOI: 10.1142/S1793525319500286
URI: http://arxiv.org/abs/1608.04516
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Title: Journal of Topology and Analysis
  Abbreviation : J. Topol. Anal.
Source Genre: Journal
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Pages: - Volume / Issue: 11 (3) Sequence Number: - Start / End Page: 691 - 719 Identifier: -