On metric spaces with given transfinite asymptotic dimensions
General Topology
2022-01-21 v4 Metric Geometry
Abstract
For every countable ordinal number , we construct a metric space whose transfinite asymptotic dimension and complementary-finite asymptotic dimension are both .
Keywords
Cite
@article{arxiv.2007.07416,
title = {On metric spaces with given transfinite asymptotic dimensions},
author = {Yan Wu and Jingming Zhu and Taras Radul},
journal= {arXiv preprint arXiv:2007.07416},
year = {2022}
}
Comments
11 pages. arXiv admin note: text overlap with arXiv:1912.02103