arrow
Volume 30, Issue 3
A Class of Metric Spaces Which Do Not Coarsely Contain Expanders

Shan Lin

Commun. Math. Res., 30 (2014), pp. 284-288.

Published online: 2021-05

Export citation
  • 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.

  • AMS Subject Headings

46B99, 58C99

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address
  • BibTex
  • RIS
  • TXT
@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
Copy to clipboard
The citation has been copied to your clipboard