6 citations · 16 across the 9 of their papers we have counts for
Showing 2008 · math.LOShow all
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math.LO2008★ 1 cited
Nonhomogeneous analytic families of trees
James Hirschorn
We consider a dichotomy for analytic families of trees stating that either there is a colouring of the nodes for which all but finitely many levels of every tree are nonhomogeneous…
math.LO2008★ 5 cited
On the strength of Hausdorff's gap condition
James Hirschorn
Hausdorff's gap condition was satisfied by his original 1936 construction of an (omega-1,omega-1) gap in P(N)/Fin. We solve an open problem in determining whether Hausdorff's condi…
math.LO2008
A strong antidiamond principle compatible with CH
James Hirschorn
A strong antidiamond principle (*c) is shown to be consistent with CH. This principle can be stated as a "P-ideal dichotomy": every P-ideal on omega-1 (i.e. an ideal that is sigma-…