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

 

Every contractible fan is locally connected at its vertex


Author: Lex G. Oversteegen
Journal: Trans. Amer. Math. Soc. 260 (1980), 379-402
MSC: Primary 54F20; Secondary 54F25
MathSciNet review: 574786
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Abstract: We prove that each contractible fan is locally connected at its vertex. It follows that every contractible fan is embeddable in the plane. This gives a solution to a problem raised by J. J. Charatonik and C. A. Eberhart.


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DOI: http://dx.doi.org/10.1090/S0002-9947-1980-0574786-1
PII: S 0002-9947(1980)0574786-1
Article copyright: © Copyright 1980 American Mathematical Society