Geodesic
Copies of \(\mathbb R^{\mathbb N}\) in F-lattices
Commentationes Mathematicae, Tome 56 (2016) no. 2, p. 239−242.

Voir la notice de l'article provenant de la source Annales Societatis Mathematicae Polonae Series

Modifying ideas presented in [14] we prove that a complete metrizable locally solid Riesz space \(E\) contains a linear subspace linearly homeomorphic to \(\mathbb R^{\mathbb N}\) iff \(E\) contains a sublattice order isomorphic to \(\mathbb R^{\mathbb N}\).
DOI : 10.14708/cm.v56i2.1558
Classification : 46A16, 46A40, 46B42
Mots-clés : metrizable locally solid Riesz space, F-lattice, sequence spaces 
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Witold Wnuk. Copies of \(\mathbb R^{\mathbb N}\) in F-lattices. Commentationes Mathematicae, Tome 56 (2016) no. 2, p.  239−242. doi : 10.14708/cm.v56i2.1558. http://geodesic.mathdoc.fr/articles/10.14708/cm.v56i2.1558/

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