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  • We shall investigate measure algebras with emphasis on their algebraic characterization. We shall concentrate on the open problems related to the long standing open problem of John von Neumann from the Scottish Book. (en)
  • Cílem projektu je algebraická charakterizace měrových algeber a řešení otevřených problémů vztahujících se k problému J. von Neumanna formulovanému ve Skotské knize.
Title
  • Measure algebras (en)
  • Měrové algebry
skos:notation
  • IAA100190509
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  • Boolean algebras; measure algebras; forcing; suquential topology (en)
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  • New combinatorial, topological and algebraic methods of description of algebras carrying exhaustive real functionals, especially measures and submeasures, were found. The main result of this project is a purely algebraic description of measure algebras. (en)
  • Byly nalezeny nové kombinatorické, topologické a algebraické metody popisující algebry nesoucí exhaustivní realné funkcionály, specielně míry a submíry. Největším úspěchem je čistě algebraický popis měrových algeber. (cs)
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  • forcing
  • measure algebras
  • Boolean algebras
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