Cantor-Bernstein theorem for lattices

Ján Jakubík

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Displaying similar documents to “Cantor-Bernstein theorem for lattices”

On the Schröder-Bernstein problem for Carathéodory vector lattices

Ján Jakubík (2009)

Czechoslovak Mathematical Journal

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In this note we prove that there exists a Carathéodory vector lattice $V$ such that $V ≅ V^{3}$ and $V ≇ V^{2}$ . This yields that $V$ is a solution of the Schröder-Bernstein problem for Carathéodory vector lattices. We also show that no Carathéodory Banach lattice is a solution of the Schröder-Bernstein problem.

On orthogonally $σ$ -complete lattice ordered groups

Ján Jakubík (2002)

Czechoslovak Mathematical Journal

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In this paper we prove a theorem of Cantor-Bernstein type for orthogonally $σ$ -complete lattice ordered groups.

On Carathéodory vector lattices

Ján Jakubík (2003)

Mathematica Slovaca

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Mathematics throughout the ages. II

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Displaying similar documents to “Cantor-Bernstein theorem for lattices”

On the Schröder-Bernstein problem for Carathéodory vector lattices

On orthogonally σ -complete lattice ordered groups

On Carathéodory vector lattices

Mathematics throughout the ages. II

On orthogonally $σ$ -complete lattice ordered groups