Embedding Trees in the Rationals

DOI10.1073/pnas.67.4.1748zbMath0209.01601OpenAlexW2059156895WikidataQ33709782 ScholiaQ33709782MaRDI QIDQ5609368

Jerome I. Malitz, James E. Baumgartner, William N. Reinhardt

Publication date: 1970

Published in: Proceedings of the National Academy of Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1073/pnas.67.4.1748

Mathematics Subject Classification ID

Combinatorics of partially ordered sets (06A07) Continuum hypothesis and Martin's axiom (03E50)

Related Items (47)

Partition relations for partially ordered sets ⋮ Internally club and approachable ⋮ Semimorasses and nonreflection at singular cardinals ⋮ Effect of a random real on \(\kappa\to \left(\kappa,{\alpha \choose \omega_ 1}\right)^ 2\) ⋮ Chains of Baire class 1 functions and various notions of special trees ⋮ Semi-Cohen Boolean algebras ⋮ A microscopic approach to Souslin-tree constructions. I. ⋮ Random trees under CH ⋮ Same graph, different universe ⋮ Club stationary reflection and the special Aronszajn tree property ⋮ A forcing axiom for a non-special Aronszajn tree ⋮ The relative strengths of fragments of Martin's axiom ⋮ What makes the continuum ℵ₂ ⋮ Singular σ-dense trees ⋮ Hierarchies of forcing axioms II ⋮ SPECIALISING TREES WITH SMALL APPROXIMATIONS I ⋮ The special tree number ⋮ Rado’s Conjecture and its Baire version ⋮ The special Aronszajn tree property ⋮ A non-implication between fragments of Martin's axiom related to a property which comes from Aronszajn trees ⋮ SH plus CH does not imply stationary antichains. ⋮ REDUCED POWERS OF SOUSLIN TREES ⋮ Continuous maps on Aronszajn trees ⋮ Free limits of forcing and more on Aronszajn trees ⋮ \(\clubsuit\) does not imply the existence of a Suslin tree ⋮ Suslin lattices ⋮ PFA(S) and countable tightness ⋮ A theory of stationary trees and the balanced Baumgartner-Hajnal-Todorcevic theorem for trees ⋮ P-ideal dichotomy and a strong form of the Suslin Hypothesis ⋮ Some weak fragments of Martin's axiom related to the rectangle refining property ⋮ Souslin trees which are hard to specialise ⋮ Characterization of order types of pointwise linearly ordered families of Baire class 1 functions ⋮ An end-faithful spanning tree counterexample ⋮ On the complexity of classes of uncountable structures: trees on $\aleph _1$ ⋮ Suslin's hypothesis does not imply stationary antichains ⋮ An End-Faithful Spanning Tree Counterexample ⋮ Left Separated Spaces With Point-Countable Bases ⋮ Problems arising from Balogh's ``Locally nice spaces under Martin's axiom ⋮ CHAIN CONDITIONS OF PRODUCTS, AND WEAKLY COMPACT CARDINALS ⋮ A standard model of Peano arithmetic with no conservative elementary extension ⋮ Infinite triangulated graphs ⋮ Random Reals and Souslin Trees ⋮ Boolean powers of abelian groups ⋮ ON WIDE ARONSZAJN TREES IN THE PRESENCE OF MA ⋮ Destructibility and axiomatizability of Kaufmann models ⋮ Real functions on the family of all well-ordered subsets of a partially ordered set ⋮ Forcing minimal extensions of Boolean algebras

This page was built for publication: Embedding Trees in the Rationals