Skip to Main Content

Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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.


Some generalizations on affine invariant points
HTML articles powered by AMS MathViewer

by Natalia Jonard-Pérez PDF
Proc. Amer. Math. Soc. 148 (2020), 5299-5311 Request permission


In this note we prove a more general (and topological) version of Grünbaum’s conjecture about affine invariant points. As an application of our result we show that if we consider the action of the group of similarities, Grünbaum’s conjecture remains valid in other families of convex sets (not necessarily convex bodies).
Similar Articles
Additional Information
  • Natalia Jonard-Pérez
  • Affiliation: Departamento de Matemáticas, Facultad de Ciencias, Universidad Nacional Autónoma de México, 04510 Ciudad de México, México
  • ORCID: 0000-0003-1932-7815
  • Email:
  • Received by editor(s): January 2, 2020
  • Received by editor(s) in revised form: February 25, 2020
  • Published electronically: September 11, 2020
  • Additional Notes: The author was partially supported by grants IN115819 (PAPIIT, UNAM, México) and 252849 (CONACYT-SEP, México).
  • Communicated by: Deane Yang
  • © Copyright 2020 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 148 (2020), 5299-5311
  • MSC (2010): Primary 52A20, 54B20, 54H15, 57S20
  • DOI:
  • MathSciNet review: 4163842