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Some strong forms of the local duality ofultraproducts

Published online by Cambridge University Press:  07 August 2001

Manuela Basallote
Affiliation:
Departamento de Matemática Aplicada II, Escuela Superior de Ingenieros, Universidad de Sevilla, Camino de los Descubrimientos, 41092 Sevilla, Spain Email: (M. Basallote) mabas@matinc.us.es (S. Díaz) madrigal@cica.es
Santiago Díaz
Affiliation:
Departamento de Matemática Aplicada II, Escuela Superior de Ingenieros, Universidad de Sevilla, Camino de los Descubrimientos, 41092 Sevilla, Spain Email: (M. Basallote) mabas@matinc.us.es (S. Díaz) madrigal@cica.es
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Abstract

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We obtain two refinements of the so called local duality of ultrapowers, that is, the ultrapower version of the well-known principle of local reflexivity.

1991 Mathematics Subject Classification. 46B07, 46B08.

Type
Research Article
Copyright
2000 Glasgow Mathematical Journal Trust