View More View Less
  • 1 Alfréd Rényi Institute of Mathematics P.O.B. 127 H-1364 Budapest Hungary
  • 2 The Hebrew University of Jerusalem Einstein Institute of Mathematics 91904 Jerusalem Israel
Restricted access

Purchase article

USD  $25.00

1 year subscription (Individual Only)

USD  $800.00

A cardinal λ is called ω -inaccessible if for all µ < λ we have µ ω < λ . We show that for every ω -inaccessible cardinal λ there is a CCC (hence cardinality and cofinality preserving) forcing that adds a hereditarily Lindelöf regular space of density λ . This extends an analogous earlier result of ours that only worked for regular λ .

  • Juhász, I. and Shelah, S. , Generic left separated spaces and calibers, Top. Appl. 132 (2003), 103–108. MR 2005b :54011

    Shelah S. , 'Generic left separated spaces and calibers ' (2003 ) 132 Top. Appl. : 103 -108.

  • Kunen, K. , Set Theory , North-Holland (Amsterdam, 1980). MR 82f :03001

    Kunen K. , '', in Set Theory , (1980 ) -.

  • Moore, J. T. , A solution to the L space problem, J. Amer. Math. Soc. 19 (2006), 717–736. MR 2220104

    Moore J. T. , 'A solution to the L space problem ' (2006 ) 19 J. Amer. Math. Soc. : 717 -736.