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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
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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.

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Additional Information

V. A. Malyshev
Affiliation: Rybinsk State Aviation Technology Academy, Rybinsk, Russia

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