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ISSN: 1547-7371(e) ISSN: 1061-0022(p)

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A theorem on intersection with a -dimensional barycenter

Author(s): V. A. Malyshev
Translated by: the author
Original publication: Algebra i Analiz, tom 17 (2005), vypusk 4.
Journal: St. Petersburg Math. J. 17 (2006), 635-640.
MSC (2000): Primary 26C10, 57Q15, 41A50
Posted: May 3, 2006
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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.

References:

1.: V. A. Rokhlin and D. B. Fuks, Beginner's course in topology. Geometric chapters, Nauka, Moscow, 1977; English transl., Springer-Verlag, Berlin, 1984. MR 0645388 (58:31080); MR 0759162 (86a:57001)


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