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

 

A counterexample
to the Bartle-Graves selection theorem
for multilinear maps


Author: Cecília S. Fernandez
Journal: Proc. Amer. Math. Soc. 126 (1998), 2687-2690
MSC (1991): Primary 46B99
MathSciNet review: 1485473
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Abstract: We present an example showing that the multilinear version of the Bartle-Graves Selection Theorem is false, even on finite dimensional spaces.


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Additional Information

Cecília S. Fernandez
Affiliation: Departamento de Matemática, Universidade Federal do Espírito Santo, Av. Fernando Ferrari s/n. 29060-900, Vitória, ES, Brasil
Address at time of publication: Department of Mathematics and Computer Science, Kent State University, Kent, Ohio 44242

DOI: http://dx.doi.org/10.1090/S0002-9939-98-04730-3
PII: S 0002-9939(98)04730-3
Keywords: Continuous selections, multilinear mappings
Received by editor(s): January 28, 1997
Communicated by: Theodore W. Gamelin
Article copyright: © Copyright 1998 American Mathematical Society