A Class of Metric Spaces Which Do Not Coarsely Contain Expanders
Commun. Math. Res., 30 (2014), pp. 284-288.
Published online: 2021-05
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@Article{CMR-30-284,
author = {Lin , Shan},
title = {A Class of Metric Spaces Which Do Not Coarsely Contain Expanders},
journal = {Communications in Mathematical Research },
year = {2021},
volume = {30},
number = {3},
pages = {284--288},
abstract = {
In this paper, a class of metric spaces which include Hilbert spaces and Hadamard manifolds are defined. And the expanders cannot be coarsely embedded into this class of metric spaces are proved.
}, issn = {2707-8523}, doi = {https://doi.org/10.13447/j.1674-5647.2014.03.10}, url = {http://global-sci.org/intro/article_detail/cmr/18972.html} }
TY - JOUR
T1 - A Class of Metric Spaces Which Do Not Coarsely Contain Expanders
AU - Lin , Shan
JO - Communications in Mathematical Research
VL - 3
SP - 284
EP - 288
PY - 2021
DA - 2021/05
SN - 30
DO - http://doi.org/10.13447/j.1674-5647.2014.03.10
UR - https://global-sci.org/intro/article_detail/cmr/18972.html
KW - coarse embedding, expander, special metric space.
AB -
In this paper, a class of metric spaces which include Hilbert spaces and Hadamard manifolds are defined. And the expanders cannot be coarsely embedded into this class of metric spaces are proved.
Lin Shan. (2021). A Class of Metric Spaces Which Do Not Coarsely Contain Expanders.
Communications in Mathematical Research . 30 (3).
284-288.
doi:10.13447/j.1674-5647.2014.03.10
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