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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Sarkovskiĭ's theorem for hereditarily decomposable chainable continua


Authors: Piotr Minc and W. R. R. Transue
Journal: Trans. Amer. Math. Soc. 315 (1989), 173-188
MSC: Primary 54H20; Secondary 54F20, 54F50, 58F08
MathSciNet review: 965302
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Abstract: Sarkovskii's theorem, which fails to hold for chainable continua, is shown to hold for hereditarily decomposable chainable continua.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9947-1989-0965302-9
PII: S 0002-9947(1989)0965302-9
Keywords: Sarkovskii's theorem, periodic point, chainable, hereditarily decomposable
Article copyright: © Copyright 1989 American Mathematical Society