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

 

Picard's theorem


Authors: Douglas Bridges, Allan Calder, William Julian, Ray Mines and Fred Richman
Journal: Trans. Amer. Math. Soc. 269 (1982), 513-520
MSC: Primary 03F65; Secondary 30B10, 30D35
MathSciNet review: 637705
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Abstract | References | Similar Articles | Additional Information

Abstract: This paper deals with the numerical content of Picard's Theorem. Two classically equivalent versions of this theorem are proved which are distinct from a computational point of view. The proofs are elementary, and constructive in the sense of Bishop. A Brouwerian counterexample is given to the original version of the theorem.


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

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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9947-1982-0637705-7
PII: S 0002-9947(1982)0637705-7
Article copyright: © Copyright 1982 American Mathematical Society