descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Apr 2020Embargo end date: 01 Jan 2019 English Publisher:Elsevier BVJournal:Topology and its Applications, volume 275, page 107,150 (issn: 0166-8641,

Authors: Austin Lawson; Greg Bell;

doi: 10.1016/j.topol.2020.107150 , 10.48550/arxiv.1905.07003

arXiv: http://arxiv.org/abs/1905.07003

Coarse free products

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Abstract

We define a notion of free product for coarse spaces that generalizes the corresponding notion of a free product for groups. We show that free products preserve coarse properties such as coarse property C, finite coarse decomposition complexity, and coarse property A. We also give an upper bound estimate on the dimension of a coarse free product in terms of the dimension of its factors.

Two small errors have been corrected in Lemma 4.3 and Theorem A

Related Organizations

University of North Carolina at Chapel Hill
United States
University of North Carolina at Greensboro
United States
University of North Carolina System
United States

Keywords

Mathematics - Geometric Topology, FOS: Mathematics, Geometric Topology (math.GT), 54E15 (primary), 54E34, 20E06 (secondary)

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