A proof of Nogura’s conjecture
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- by Stevo Todorcevic PDF
- Proc. Amer. Math. Soc. 131 (2003), 3919-3923 Request permission
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 Fréchet. 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.References
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Additional Information
- Stevo Todorcevic
- Affiliation: Université Paris 7 - C.N.R.S., UMR 7056, 2, Place Jussieu, 75251 Paris Cedex 05, France
- MR Author ID: 172980
- Email: stevo@math.jussieu.fr
- Received by editor(s): August 1, 2002
- Received by editor(s) in revised form: August 6, 2002
- Published electronically: May 28, 2003
- Communicated by: Alan Dow
- © Copyright 2003 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 131 (2003), 3919-3923
- MSC (2000): Primary 03E65, 54B10, 54D55
- DOI: https://doi.org/10.1090/S0002-9939-03-07002-3
- MathSciNet review: 1999941