On Boltyanski and Gohberg's partition conjecture-Reference-Cited by-同舟云学术

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On Boltyanski and Gohberg's partition conjecture

Published:2023-09-06 Issue:1 Volume:56 Page:140-149
ISSN:0024-6093
Container-title:Bulletin of the London Mathematical Society
language:en
Short-container-title:Bulletin of London Math Soc

Author:

Wang Jun¹,Xue Fei²,Zong Chuanming³⁴

Affiliation:

1. School of Mathematical Sciences Tianjin Normal University Tianjin China

2. School of Mathematical Sciences Nanjing Normal University Nanjing China

3. Center for Applied Mathematics Tianjin University Tianjin China

4. Beijing International Center for Mathematical Research Peking University Beijing China

Abstract

AbstractIn 1965, Boltyanski and Gohberg made the following conjecture: Every bounded set in an ‐dimensional normed space can be divided into subsets of smaller diameters. In this paper, we prove the following result: Every bounded set in an ‐dimensional normed space can be divided into subsets of smaller diameters.

Funder

National Natural Science Foundation of China

Natural Science Foundation of Jiangsu Province

Publisher

Wiley

Subject

General Mathematics

Link

https://londmathsoc.onlinelibrary.wiley.com/doi/pdf/10.1112/blms.12919

Reference38 articles.

1. On Borsuk’s problem

2. The Geometry of Homothetic Covering and Illumination

3. Results and Problems in Combinatorial Geometry

4. Excursions into Combinatorial Geometry

5. Borsuk's problem (in Russian);Boltyanski V. G.;Mat. Zametki,1977

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