Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS
   
Mobile Device Pairing
St. Petersburg Mathematical Journal
St. Petersburg Mathematical Journal
ISSN 1547-7371(online) ISSN 1061-0022(print)

 

A theorem on intersection with a $ k$-dimensional barycenter


Author: V. A. Malyshev
Translated by: the author
Original publication: Algebra i Analiz, tom 17 (2005), nomer 4.
Journal: St. Petersburg Math. J. 17 (2006), 635-640
MSC (2000): Primary 26C10, 57Q15, 41A50
Published electronically: May 3, 2006
MathSciNet review: 2173938
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: For a multidimensional analog of the barycenter (which is a certain union of intervals), a multidimensional analog of the following statement is proved: if a continuous mapping maps each face of a simplex into itself, then the image of the mapping meets the barycenter.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in St. Petersburg Mathematical Journal with MSC (2000): 26C10, 57Q15, 41A50

Retrieve articles in all journals with MSC (2000): 26C10, 57Q15, 41A50


Additional Information

V. A. Malyshev
Affiliation: Rybinsk State Aviation Technology Academy, Rybinsk, Russia
Email: wmal@ryb.adm.yar.ru

DOI: http://dx.doi.org/10.1090/S1061-0022-06-00923-X
PII: S 1061-0022(06)00923-X
Keywords: Barycenter
Received by editor(s): September 10, 2004
Published electronically: May 3, 2006
Article copyright: © Copyright 2006 American Mathematical Society