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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Fixed point theorems for arc-preserving mappings of uniquely arcwise-connected continua


Authors: J. B. Fugate and Lee Mohler
Journal: Proc. Amer. Math. Soc. 123 (1995), 3225-3231
MSC: Primary 54H25; Secondary 54F15
MathSciNet review: 1307517
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Abstract: Let X be a uniquely arcwise-connected continuum and $ f:X \to X$ a map which is arc-preserving (i.e., the image of each arc is an arc or a point). We prove that f has a fixed point.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1995-1307517-4
PII: S 0002-9939(1995)1307517-4
Article copyright: © Copyright 1995 American Mathematical Society