Geodesic
The covering number for category and partition relations on $P_{\omega} (\lambda )$
Pierre Matet1
1 Université de Caen–CNRS ESA 6081 Laboratoire SDAD Campus II 14032 Caen Cedex, France
Fundamenta Mathematicae, Tome 171 (2002) no. 3, pp. 235-247.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We show that $\mathop {\rm cov} (M)$ is the least infinite cardinal $\lambda $ such that $P_\omega (\lambda )$ (the set of all finite subsets of $\lambda $) fails to satisfy a certain natural generalization of Ramsey's Theorem.
DOI : 10.4064/fm171-3-4
Keywords: mathop cov least infinite cardinal lambda omega lambda set finite subsets lambda fails satisfy certain natural generalization ramseys theorem

Pierre Matet 1

1 Université de Caen–CNRS ESA 6081 Laboratoire SDAD Campus II 14032 Caen Cedex, France 
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Pierre Matet. The covering number for category
 and partition relations on $P_{\omega} (\lambda )$. Fundamenta Mathematicae, Tome 171 (2002) no. 3, pp. 235-247. doi : 10.4064/fm171-3-4. http://geodesic.mathdoc.fr/articles/10.4064/fm171-3-4/

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