Cofinal types of topological directed orders
[Types cofinaux d'espaces topologiques ordonnés filtrants]
Annales de l'Institut Fourier, Tome 54 (2004) no. 6, pp. 1877-1911.

On étudie la structure de l'ordre de Tukey sur les ensembles ordonnés filtrants qui apparaissent naturellement en topologie et en théorie de la mesure.

We investigate the structure of the Tukey ordering among directed orders arising naturally in topology and measure theory.

DOI : 10.5802/aif.2070
Classification : 03E05, 06A07, 03E15, 03E17, 22A26
Keywords: Tukey order, analytic ideals, $\sigma $-ideals of compact sets
Mot clés : Ordre de Tukey, idéaux analytiques, $\sigma $-ideaux d’ensembles compacts
Solecki, SŁawomir 1 ; Todorcevic, Stevo 

1 University of Illinois, Department of mathematics, 1409 W. green st., Urbana IL 61801 (USA), Université Paris VII-CNRS, UMR 7056, 2 place Jussieu, 75251 Paris cedex 05 (France)
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Solecki, SŁawomir; Todorcevic, Stevo. Cofinal types of topological directed orders. Annales de l'Institut Fourier, Tome 54 (2004) no. 6, pp. 1877-1911. doi : 10.5802/aif.2070. http://www.numdam.org/articles/10.5802/aif.2070/

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