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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

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

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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Every contractible fan is locally connected at its vertex
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by Lex G. Oversteegen PDF
Trans. Amer. Math. Soc. 260 (1980), 379-402 Request permission

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.
References
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Additional Information
  • © Copyright 1980 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 260 (1980), 379-402
  • MSC: Primary 54F20; Secondary 54F25
  • DOI: https://doi.org/10.1090/S0002-9947-1980-0574786-1
  • MathSciNet review: 574786