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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 

 

An uncountable collection of chainable continua


Author: David P. Bellamy
Journal: Trans. Amer. Math. Soc. 160 (1971), 297-304
MSC: Primary 54.55
DOI: https://doi.org/10.1090/S0002-9947-1971-0286076-X
MathSciNet review: 0286076
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Abstract: We demonstrate the existence of an uncountable collection of chainable continua, no member of which can be mapped onto any other member. Path connectedness considerations and techniques involving compactifications play an important role in the construction and argument.


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DOI: https://doi.org/10.1090/S0002-9947-1971-0286076-X
Keywords: Chainable continuum, mappings on continua, compactification
Article copyright: © Copyright 1971 American Mathematical Society