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The preservation of atriodicity by semiconfluent mappings


Author: James F. Davis
Journal: Proc. Amer. Math. Soc. 100 (1987), 579-584
MSC: Primary 54F20; Secondary 54C10
DOI: https://doi.org/10.1090/S0002-9939-1987-0891167-3
MathSciNet review: 891167
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Abstract: Grace and Vought have proven that the image of a chainable continuum under a semiconfluent mapping is atriodic. This motivates the question of whether the semiconfluent image of an atriodic continuum is atriodic. In this paper this question is answered affirmatively.


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DOI: https://doi.org/10.1090/S0002-9939-1987-0891167-3
Keywords: Semiconfluent mappings, atriodic continua
Article copyright: © Copyright 1987 American Mathematical Society

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