. . . . . "Hlavn\u00EDm v\u00FDsledkem projektu je \u0159e\u0161en\u00ED probl\u00E9mu J. von Neumanna a D. Maharamov\u00E9 z r. 1937 a 1947. V citovan\u00E9 pr\u00E1ci jsme podali charakterizaci Booleov\u00FDch algeber s Maharamovou subm\u00EDrou, a uk\u00E1zali, \u017Ee probl\u00E9m von Neumanna -Maharamov\u00E9 je konsistentn\u00ED. \u010Cl\u00E1nek"@cs . "2008-06-02+02:00"^^ . "1"^^ . . "GA201/02/0857" . . "3"^^ . . . "0"^^ . "Neuvedeno."@en . "3"^^ . . . . . . . "0"^^ . "The main result obtained during our work on the project is the solution of the long standingproblem of John von Neumann and Dorothy Maharam (1937, 1947). The article cited abovegives a characterization of Boolean algebras that admit a Maharam submeasure"@en . . "Navrhovan\u00FD projekt se soust\u0159ed\u00ED na teorii mno\u017Ein a na aplikace teorie mno\u017Ein v algeb\u0159e. Hlavn\u00ED oblasti navrhovan\u00E9ho v\u00FDzkumu obsahuj\u00ED tato t\u00E9mata: forcing a velk\u00E1 kardin\u00E1ln\u00ED \u010D\u00EDsla, element\u00E1rn\u00ED vno\u0159en\u00ED a levodistributivn\u00ED struktury, stacion\u00E1rn\u00ED mno\u017Einy, \u00FApln\u00E9 Booleovy algebry a teorie pcf." . "http://www.isvav.cz/projectDetail.do?rowId=GA201/02/0857"^^ . "Teorie mno\u017Ein a matematick\u00E1 logika" . "Set theory and mathematical logic"@en . "The proposed research will concentrate on set theory and on applications of set theory in algebra. The major topics of research will include the foolowing areas: forcing and large cardinals, left-distributive algebras and elementary embeddings, stationary sets, complete Boolean algebras and the pcf theory."@en . . . .