Copies of ${ℝ}^{\mathbb{N}}$ in F-lattices

Witold Wnuk. "Copies of $\mathbb {R}^{\mathbb {N}}$ in F-lattices." Commentationes Mathematicae 56.2 (2016): null. <http://eudml.org/doc/292445>.

@article{WitoldWnuk2016,
abstract = {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 $\mathbb \{R\}^\{\mathbb \{N\}\}$.},
author = {Witold Wnuk},
journal = {Commentationes Mathematicae},
keywords = {metrizable locally solid Riesz space; F-lattice; sequence spaces},
language = {eng},
number = {2},
pages = {null},
title = {Copies of $\mathbb \{R\}^\{\mathbb \{N\}\}$ in F-lattices},
url = {http://eudml.org/doc/292445},
volume = {56},
year = {2016},
}

TY - JOUR
AU - Witold Wnuk
TI - Copies of $\mathbb {R}^{\mathbb {N}}$ in F-lattices
JO - Commentationes Mathematicae
PY - 2016
VL - 56
IS - 2
SP - null
AB - 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 $\mathbb {R}^{\mathbb {N}}$.
LA - eng
KW - metrizable locally solid Riesz space; F-lattice; sequence spaces
UR - http://eudml.org/doc/292445
ER -