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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

The entire functions separate $ \beta {\bf C}$


Authors: J. J. Kelleher and B. A. Taylor
Journal: Proc. Amer. Math. Soc. 33 (1972), 505-506
MSC: Primary 30A46
MathSciNet review: 0296283
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Abstract: The entire functions separate the points of the Stone-Čech compactification of the complex plane.


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

  • [1] Norman L. Alling, The valuation theory of meromorphic function fields over open Riemann surfaces, Acta Math. 110 (1963), 79–96. MR 0160781 (28 #3992)
  • [2] Ralph Jones, Unions of two open 2-cells, Notices Amer. Math. Soc. 17 (1970), 976. Abstract #70T-G179.

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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1972-0296283-4
PII: S 0002-9939(1972)0296283-4
Keywords: Stone-Čech compactification, entire functions
Article copyright: © Copyright 1972 American Mathematical Society