Skip to Main Content

Bulletin of the American Mathematical Society

The Bulletin publishes expository articles on contemporary mathematical research, written in a way that gives insight to mathematicians who may not be experts in the particular topic. The Bulletin also publishes reviews of selected books in mathematics and short articles in the Mathematical Perspectives section, both by invitation only.

ISSN 1088-9485 (online) ISSN 0273-0979 (print)

The 2020 MCQ for Bulletin of the American Mathematical Society is 0.84.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

Tverberg’s theorem is 50 years old: A survey
HTML articles powered by AMS MathViewer

by Imre Bárány and Pablo Soberón PDF
Bull. Amer. Math. Soc. 55 (2018), 459-492 Request permission

Abstract:

This survey presents an overview of the advances around Tverberg’s theorem, focusing on the last two decades. We discuss the topological, linear-algebraic, and combinatorial aspects of Tverberg’s theorem and its applications. The survey contains several open problems and conjectures.
References
Similar Articles
  • Retrieve articles in Bulletin of the American Mathematical Society with MSC (2010): 52A35, 52A37
  • Retrieve articles in all journals with MSC (2010): 52A35, 52A37
Additional Information
  • Imre Bárány
  • Affiliation: Alfréd Rényi Institute of Mathematics, Hungarian Academy of Sciences, H-1364 Budapest Pf. 127 Hungary; and Department of Mathematics, University College London, Gower Street, London, WC1E 6BT, United Kingdom
  • MR Author ID: 30885
  • Email: barany.imre@renyi.mta.hu
  • Pablo Soberón
  • Affiliation: Mathematics Department, Northeastern University, Boston, Massachusetts 02115
  • MR Author ID: 924529
  • ORCID: 0000-0003-2347-4279
  • Email: pablo.soberon@ciencias.unam.mx
  • Received by editor(s): December 17, 2017
  • Published electronically: June 19, 2018
  • Additional Notes: The first author was partly supported by the National Science Foundation under Grant No. DMS-1440140 and was also supported by Hungarian National Research, Development and Innovation Office Grants No. K111827 and K116769.
  • © Copyright 2018 American Mathematical Society
  • Journal: Bull. Amer. Math. Soc. 55 (2018), 459-492
  • MSC (2010): Primary 52A35, 52A37
  • DOI: https://doi.org/10.1090/bull/1634
  • MathSciNet review: 3854075