13 citations · 23 across the 11 of their papers we have counts for
Showing 1995 · math.LOShow all
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math.LO1995
Cardinal invariants above the continuum
James Cummings, Saharon Shelah
We prove some consistency results about b(lambda) and d(lambda), which are natural generalisations of the cardinal invariants of the continuum b and d. We also define invariants b_…
math.LO1995★ 1 cited
A model in which every infinite Boolean algebra has many subalgebras
James Cummings, Saharon Shelah
We show that it is consistent with ZFC (relative to large cardinals) that every infinite Boolean algebra B has an irredundant subset A such that 2^{|A|} = 2^{|B|}. This implies in…
math.LO1995
A consistency result on weak reflection
James Cummings, Mirna Džamonja, Saharon Shelah
In this paper we study the notion of strong non-reflection, and its contrapositive weak reflection. We say theta strongly non-reflects at lambda iff there is a function F: theta --…