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

Voir la notice de l'article dans European Digital Mathematics Library

Modifying ideas presented in [14] we prove that a complete metrizable locally solid Riesz space E contains a linear subspace linearly homeomorphic to ℝ ℕ iff E contains a sublattice order isomorphic to ℝ ℕ .
Mots-clés : metrizable locally solid Riesz space, F-lattice, sequence spaces 
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     author = {Witold Wnuk},
     title = {Copies of $\mathbb {R}^{\mathbb {N}}$ in {F-lattices}},
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Witold Wnuk. Copies of $\mathbb {R}^{\mathbb {N}}$ in F-lattices. Commentationes Mathematicae, Tome 56 (2016) no. 2. https://geodesic-test.mathdoc.fr/item/COMA_2016__56_2_292445/