Remote Access Transactions of the American Mathematical Society
Green Open Access

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
DOI: https://doi.org/10.1090/S0002-9947-1980-0574786-1
MathSciNet review: 574786
Full-text PDF

Abstract | References | Similar Articles | Additional Information

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 [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Transactions of the American Mathematical Society with MSC: 54F20, 54F25

Retrieve articles in all journals with MSC: 54F20, 54F25


Additional Information

DOI: https://doi.org/10.1090/S0002-9947-1980-0574786-1
Article copyright: © Copyright 1980 American Mathematical Society

American Mathematical Society