Kurepa tree

Known as: Kurepa hypothesis, Kurepa conjecture, Kurepa family 
In set theory, a Kurepa tree is a tree (T, <) of height ω1, each of whose levels is at most countable, and has at least ℵ2 many branches. This… (More)
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2018
2018
Monroe Eskew [3] asked whether the tree property at ω2 implies there is no Kurepa tree (as is the case in the Mitchell model, or… (More)
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2014
2014
It is consistent that there exists a Souslin tree T such that after forcing with it, T becomes an almost Souslin Kurepa tree… (More)
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2013
2013
A highly rigid Souslin tree T is constructed such that forcing with T turns T into a Kurepa tree. Club versions of previously… (More)
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2012
2012
We show that compact cardinals and MM are sensitive to λ-closed forcings for arbitrarily large λ. This is done by adding… (More)
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2005
2005
Refinements of Buzano’s and Kurepa’s inequalities in inner product spaces and applications for discrete and integral inequalities… (More)
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1997
1997
In the paper we probe the possibilities of creating a Kurepa tree in a generic extension of a model of CH plus no Kurepa trees by… (More)
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1994
1994
By an WI-tree we mean a tree of cardinality w1 and height wl. An w,-tree is called a Kurepa tree if all its levels are countable… (More)
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1993
1993
By an !1{tree we mean a tree of power !1 and height !1. An !1{tree is called a Kurepa tree if all its levels are countable and it… (More)
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1992
1992
By an !1{tree we mean a tree of power !1 and height !1 . Under CH and 21 > !2 we call an !1{tree a Jech{Kunen tree if it has many… (More)
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1991
1991
By an !1{tree we mean a tree of power !1 and height !1 . Under the assumption of CH plus 21 > !2 we call an !1{tree a Jech{Kunen… (More)
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