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Volumn 12, Issue 2, 2006, Pages 241-266

Weak distributivity, a problem of von neumann and the mystery of measurability

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EID: 33745322525     PISSN: 10798986     EISSN: None     Source Type: Journal    
DOI: 10.2178/bsl/1146620061     Document Type: Article
Times cited : (24)

References (43)
  • 3
    • 0037777130 scopus 로고    scopus 로고
    • The sequential topology on complete Boolean algebras
    • B. BALCAR, W. GŁÓWCZYŃSKI, and T. JECH, The sequential topology on complete Boolean algebras, Fundamenta Mathematicae, vol. 155 (1998), no. 1, pp. 59-78.
    • (1998) Fundamenta Mathematicae , vol.155 , Issue.1 , pp. 59-78
    • Balcar, B.1    GŁówczyński, W.2    Jech, T.3
  • 5
    • 29144435924 scopus 로고    scopus 로고
    • Complete ccc Boolean algebras, the order sequential topology and a problem of von Neumann
    • _, Complete ccc Boolean algebras, the order sequential topology and a problem of von Neumann, The Bulletin of the London Mathematical Society, vol. 37 (2005), pp. 885-898.
    • (2005) The Bulletin of the London Mathematical Society , vol.37 , pp. 885-898
  • 6
    • 1842537386 scopus 로고
    • Sur une generalisation du problème de la mesure
    • S. BANACH and K. KURATOWSKI, Sur une Generalisation du Problème de la Mesure, Fundamenta Mathematicae, vol. 14 (1929), pp. 127-131.
    • (1929) Fundamenta Mathematicae , vol.14 , pp. 127-131
    • Banach, S.1    Kuratowski, K.2
  • 7
    • 0002617791 scopus 로고
    • Iterated forcing
    • London Mathematical Society Lecture Note Series, Cambridge University Press, Cambridge
    • J. E. BAUMGARTNER, Iterated forcing, Surveys in set theory, London Mathematical Society Lecture Note Series, vol. 87. Cambridge University Press, Cambridge, 1983, pp. 1-59.
    • (1983) Surveys in Set Theory , vol.87 , pp. 1-59
    • Baumgartner, J.E.1
  • 9
    • 0000401698 scopus 로고
    • Measure algebras
    • North-Holland Publishing Company, Amsterdam
    • D. H. FREMLIN, Measure algebras, Handbook of Boolean algebras, vol. 3. North-Holland Publishing Company, Amsterdam, 1989, pp. 877-980.
    • (1989) Handbook of Boolean Algebras , vol.3 , pp. 877-980
    • Fremlin, D.H.1
  • 10
    • 33745293203 scopus 로고    scopus 로고
    • Torres Fremlin, Colchester
    • _, Measure theory, vol. 1-4, Torres Fremlin, Colchester, 2000-2004.
    • (2000) Measure Theory , vol.1-4
  • 11
    • 33845229792 scopus 로고    scopus 로고
    • Unpublished notes, January
    • _, Problems, Unpublished notes, January 2004.
    • (2004) Problems
  • 12
    • 33845900421 scopus 로고    scopus 로고
    • Unpublished notes, December
    • _, Maharam algebras, Unpublished notes, December 2004.
    • (2004) Maharam Algebras
  • 18
    • 0003177961 scopus 로고
    • More game-theoretic properties of Boolean algebras
    • _, More game-theoretic properties of Boolean algebras, Annals of Pure and Applied Logic, vol. 26 (1984), pp. 11-29.
    • (1984) Annals of Pure and Applied Logic , vol.26 , pp. 11-29
  • 19
    • 14544282950 scopus 로고    scopus 로고
    • Springer Monographs in Mathematics, Springer-Verlag, Berlin
    • _, Set theory, the third millennium edition, Springer Monographs in Mathematics, Springer-Verlag, Berlin, 2002.
    • (2002) Set Theory, the Third Millennium Edition
  • 20
  • 23
    • 84972518417 scopus 로고
    • Measures on Boolean algebras
    • J. L. KELLEY, Measures on Boolean algebras, Pacific Journal of Mathematics, vol. 9 (1959), pp. 1165-1177.
    • (1959) Pacific Journal of Mathematics , vol.9 , pp. 1165-1177
    • Kelley, J.L.1
  • 24
    • 33751531878 scopus 로고
    • North-Holland Publishing Company, Amsterdam
    • S. KOPPELBERG, Handbook of Boolean algebras, vol. 1, North-Holland Publishing Company, Amsterdam, 1989.
    • (1989) Handbook of Boolean Algebras , vol.1
    • Koppelberg, S.1
  • 27
    • 0008223790 scopus 로고
    • An algebraic characterization of measure algebras
    • _, An algebraic characterization of measure algebras, Annals of Mathematics, Second Series, vol. 48 (1947), pp. 154-167.
    • (1947) Annals of Mathematics, Second Series , vol.48 , pp. 154-167
  • 28
    • 0004166923 scopus 로고
    • D. Mauldin (editor), Birkhäuser Boston, Massachusetts
    • D. Mauldin (editor), The Scottish Book, Birkhäuser Boston, Massachusetts, 1981.
    • (1981) The Scottish Book
  • 30
    • 0004273236 scopus 로고
    • J. D. Monk (editor), North-Holland Publishing Company, Amsterdam
    • J. D. Monk (editor), Handbook of Boolean algebras, North-Holland Publishing Company, Amsterdam, 1989.
    • (1989) Handbook of Boolean Algebras
  • 31
    • 0036354442 scopus 로고    scopus 로고
    • CH and the Sacks property
    • S. QUICKERT, CH and the Sacks property, Fundamenta Mathematicae, vol. 171 (2002), no. 1, pp. 93-100.
    • (2002) Fundamenta Mathematicae , vol.171 , Issue.1 , pp. 93-100
    • Quickert, S.1
  • 32
    • 0004217340 scopus 로고
    • Lecture Notes in Mathematics, Springer-Verlag, Berlin
    • S. SHELAH, Proper forcing, Lecture Notes in Mathematics, vol. 940, Springer-Verlag, Berlin, 1982.
    • (1982) Proper Forcing , vol.940
    • Shelah, S.1
  • 35
    • 33745295090 scopus 로고
    • Remarques sur les fonctions complètement additives d'ensemble et sur les ensembles jouissant de la propriété de Baire
    • E. SZPILRAJN (MARCZEWSKI), Remarques sur les fonctions complètement additives d'ensemble et sur les ensembles jouissant de la propriété de Baire, Fundamenta Mathematicae, vol. 22 (1934), pp. 303-311.
    • (1934) Fundamenta Mathematicae , vol.22 , pp. 303-311
    • Szpilrajn, E.1
  • 36
    • 33745312889 scopus 로고    scopus 로고
    • Manuscript in preparation, January
    • M. TALAGRAND, Maharam's problem, Manuscript in preparation, January 2006.
    • (2006) Maharam's Problem
    • Talagrand, M.1
  • 38
    • 0000013350 scopus 로고    scopus 로고
    • A dichotomy for P-ideals of countable sets
    • S. TODORCEVIC, A dichotomy for P-ideals of countable sets, Fundamenta Mathematicae, vol. 166 (2000), no. 3, pp. 251-267.
    • (2000) Fundamenta Mathematicae , vol.166 , Issue.3 , pp. 251-267
    • Todorcevic, S.1
  • 39
    • 17544379312 scopus 로고    scopus 로고
    • A problem of von Neumann and Maharam about algebras supporting continuous submeasures
    • _, A problem of von Neumann and Maharam about algebras supporting continuous submeasures, Fundamenta Mathematicae, vol. 183 (2004), pp. 169-183.
    • (2004) Fundamenta Mathematicae , vol.183 , pp. 169-183
  • 41
    • 33745328268 scopus 로고    scopus 로고
    • Mathematics and its Applications, Kluwer Academic Publishers, Dordrecht, Translated from the Russian manuscript, Foreword and appendix by S. S. Kutateladze
    • D. A. VLADIMIROV, Boolean algebras in analysis, Mathematics and its Applications, vol. 540, Kluwer Academic Publishers, Dordrecht, 2002, Translated from the Russian manuscript, Foreword and appendix by S. S. Kutateladze.
    • (2002) Boolean Algebras in Analysis , vol.540
    • Vladimirov, D.A.1
  • 42
    • 0004208164 scopus 로고
    • The Institute for Advanced Study, Notes by L. Roy Wilcox on lectures given during 1935-36 and 1936-37 at the Institute for Advanced Study
    • J. VON NEUMANN, Continuous geometry, The Institute for Advanced Study, 1936-1937, Notes by L. Roy Wilcox on lectures given during 1935-36 and 1936-37 at the Institute for Advanced Study.
    • (1936) Continuous Geometry
    • Von Neumann, J.1
  • 43
    • 0004208164 scopus 로고
    • Princeton University Press, Princeton, New Jersey
    • _, Continuous geometry, Princeton University Press, Princeton, New Jersey, 1960.
    • (1960) Continuous Geometry


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.