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A note on periodic points of order preserving subhomogeneous maps
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UNSPECIFIED (2006) A note on periodic points of order preserving subhomogeneous maps. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 134 (5). pp. 1513-1517. ISSN 0002-9939.
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Abstract
Let R-+(n) be the standard closed positive cone in Rn and let G(R-n(+)) be the set of integers p = 1 for which there exists a continuous, order preserving, subhomogeneous map f : R-+(n) +. R-+(n), which has a periodic point with period p. It has been shown by Akian, Gaubert, Lemmens, and Nussbaum that Gamma(R-n (+)) is contained in the set B(n) consisting of those p = 1 for which there exist integers q(1) and q(2) such that p = q(1)q(2), 1 <= q1 <= ((n)(m)) and 1 <= q2 <= ((m)(vertical bar m/2 vertical bar)) for some 1 <= m <= n. This note shows that Gamma(R-n(+)) = B(n) for all n >= 1.
Item Type: | Journal Article | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Journal or Publication Title: | PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | ||||
Publisher: | AMER MATHEMATICAL SOC | ||||
ISSN: | 0002-9939 | ||||
Official Date: | 2006 | ||||
Dates: |
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Volume: | 134 | ||||
Number: | 5 | ||||
Number of Pages: | 5 | ||||
Page Range: | pp. 1513-1517 | ||||
Publication Status: | Published |
Data sourced from Thomson Reuters' Web of Knowledge
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