On the relationship between density and weak density in Boolean algebras
Proc. Amer. Math. Soc. 112 (1991), 1137-1141
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Abstract: Given a homogeneous, complete Boolean algebra , it is shown that in ZFC, where is the density, is the weak density, and is the cellularity of . A corollary to this result is that in ZFC+GCH.
K. Bozeman, Ph.D. thesis, University of North Texas, 1990.
R. Burke, Weakly dense subsets of the measure
algebra, Proc. Amer. Math. Soc.
106 (1989), no. 4,
961402 (89m:28011), http://dx.doi.org/10.1090/S0002-9939-1989-0961402-3
W. Just, unpublished manuscript.
Koppelberg, Projective Boolean algebras, Handbook of Boolean
algebras, Vol.\ 3, North-Holland, Amsterdam, 1989, pp. 741–773.
- K. Bozeman, Ph.D. thesis, University of North Texas, 1990.
- M. Burke, Weakly dense subsets of the measure algebra, Proc. Amer. Math. Soc. 106 (1989), 867-874. MR 961402 (89m:28011)
- W. Just, unpublished manuscript.
- S. Koppelberg, General theory of Boolean algebras: handbook of Boolean algebras, North-Holland, Amsterdam, 1989. MR 991609
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homogeneously weakly dense,
nowhere relatively dense,
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