Milan V. Kurepa
نویسندگان
چکیده
منابع مشابه
Independence of higher Kurepa hypotheses
We study the Generalized Kurepa Hypothesis introduced by Chang. We show that relative to the existence of an inaccessible cardinal the Gap-n-Kurepa hypothesis does not follow from the Gap-m-Kurepa hypothesis for m different from n. The use of an inaccessible is necessary for this result.
متن کاملKurepa trees and Namba forcing
We show that compact cardinals and MM are sensitive to λ-closed forcings for arbitrarily large λ. This is done by adding ‘regressive’ λ-Kurepa-trees in either case. We argue that the destruction of regressive Kurepa-trees with MM requires the use of Namba forcing.
متن کاملMore on Almost Souslin Kurepa Trees
It is consistent that there exists a Souslin tree T such that after forcing with it, T becomes an almost Souslin Kurepa tree. This answers a question of Zakrzewski [6].
متن کاملCan a Small Forcing Create Kurepa Trees
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 an ω1-preserving forcing notion of size at most ω1. In the first section we show that in the Lévy model obtained by collapsing all cardinals between ω1 and a strongly inaccessible cardinal by forcing with a countable support Lévy collapsing order many ω1preserving fo...
متن کاملGeneralized Kurepa and Mad Families and Topology
Closing a Kurepa family under finite intersection yields a Kurepa family of the same cardinality, so we may assume N = {Nα : α ∈ μ} is closed under finite intersection. For each N ∈ N let m(N) = {α : Nα ⊂ N}. Since N is a Kurepa family, m(N) is a countable subset of μ. Also, m(N1 ∩N2) = m(N1) ∩m(N2) and so K = {m(N) : N ∈ N and m(N) is infinite} is a Kurepa family of cardinality no greater than...
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ژورنال
عنوان ژورنال: Physics Today
سال: 2001
ISSN: 0031-9228,1945-0699
DOI: 10.1063/1.1404858