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Proceedings of the American Mathematical SocietyVolume 131, Issue 12, December 2003, Pages 3919-3923

A proof of Nogura's conjecture(Conference Paper)(Open Access)

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  • Université Paris 7, C.N.R.S., UMR 7056, 2, Place Jussieu, 75251 Paris Cedex 05, France

Abstract

Answering a question of T. Nogura (1985), we show using the Open Coloring Axiom that the weak diagonal sequence property is preserved by taking products whenever the products themselves are Frèchet. As an application we show, using the same assumption, that the product of two Fréchet groups is Fréchet provided it is sequential. Recall that the product of two Fréchet groups may not be sequential.

Author keywords

Diagonal sequence propertyFréchet space
  • ISSN: 00029939
  • Source Type: Journal
  • Original language: English
  • DOI: 10.1090/S0002-9939-03-07002-3
  • Document Type: Conference Paper

  Todorcevic, S.; Université Paris 7, C.N.R.S., UMR 7056, 2, Place Jussieu, France;
© Copyright 2008 Elsevier B.V., All rights reserved.

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