Journal article

Asymptotic dimension of planes and planar graphs

Abstract:: We show that the asymptotic dimension of a geodesic space that is homeomorphic to a subset in the plane is at most three. In particular, the asymptotic dimension of the plane and any planar graph is at most three.

Publication status:: Published

Peer review status:: Peer reviewed

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APA Style

Fujiwara, K., & Papasoglu, P. (2021). Asymptotic dimension of planes and planar graphs. Transactions of the American Mathematical Society, 374(12), 8887–8901.

MLA Style

Fujiwara, K., and P. Papasoglu. “Asymptotic Dimension of Planes and Planar Graphs.” Transactions of the American Mathematical Society, vol. 374, no. 12, American Mathematical Society, 2021, pp. 8887–901.

Chicago Style

Fujiwara, K, and P Papasoglu. 2021. “Asymptotic Dimension of Planes and Planar Graphs.” Transactions of the American Mathematical Society 374 (12): 8887–8901.
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Files:: Fujiwara_and_Papasoglu_2021_Asymptotic_dimension_of.pdf

(Preview, Accepted manuscript, pdf, 743.3KB, Terms of use)

Publisher copy:: 10.1090/tran/8487

Authors

+ Fujiwara, K More by this author

Role:: Author

+ Papasoglu, P More by this author

Institution:: University of Oxford
Division:: MPLS
Department:: Mathematical Institute
Oxford college:: Queen's College
Role:: Author
ORCID:: 0000-0001-7634-7885

+ Japan Society for the Promotion of Science More from this funder

Publisher:: American Mathematical Society
Journal:: Transactions of the American Mathematical Society More from this journal
Volume:: 374
Issue:: 12
Pages:: 8887-8901
Publication date:: 2021-08-26
Acceptance date:: 2021-06-01
DOI:: 10.1090/tran/8487
EISSN:: 1088-6850
ISSN:: 0002-9947

Language:: English
Pubs id:: 1240295
Local pid:: pubs:1240295
Deposit date:: 2024-05-31

Terms of use

Copyright holder:: American Mathematical Society
Copyright date:: 2021
Rights statement:: © Copyright 2021 American Mathematical Society
Notes:: This is the accepted manuscript version of the article. The final version is available online from American Mathematical Society at: https://dx.doi.org/10.1090/tran/8487

Licence:: Terms and Conditions of Use for Oxford University Research Archive

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