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Conjectures of Rado and Chang and special Aronszajn trees
Author(s) -
Todorčević Stevo,
Torres Pérez Víctor
Publication year - 2012
Publication title -
mathematical logic quarterly
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.473
H-Index - 28
eISSN - 1521-3870
pISSN - 0942-5616
DOI - 10.1002/malq.201110037
Subject(s) - mathematics , conjecture , combinatorics , square (algebra) , geometry
We show that both Rado's Conjecture and strong Chang's Conjecture imply that there are no special ℵ 2 ‐Aronszajn trees if the Continuum Hypothesis fails. We give similar result for trees of higher heights and we also investigate the influence of Rado's Conjecture on square sequences.