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Copies of in topological Riesz spaces
Authors:Lech Drewnowski  Iwo Labuda
Institution:Faculty of Mathematics and Computer Science, A. Mickiewicz University, Matejki 48/49, 60--769 Poznan, Poland ; Department of Mathematics, University of Mississippi, University, Missouri 38677
Abstract:The paper is concerned with order-topological characterizations of topological Riesz spaces, in particular spaces of measurable functions, not containing Riesz isomorphic or linearly homeomorphic copies of $c_{0}$ or $\ell _{\infty }$.

Keywords:Topological Riesz space  space of measurable functions  Lebesgue property  Levi property  Orlicz-Pettis theorem  copy of $c_{0}$  copy of $\ell _{\infty }$
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