Authors: | Todorčević, Stevo Pérez, Víctor Torres |
Title: | Conjectures of Rado and Chang and special Aronszajn trees |
Journal: | Mathematical Logic Quarterly |
Volume: | 58 |
Issue: | 4-5 |
First page: | 342 |
Last page: | 347 |
Issue Date: | 1-Aug-2012 |
Rank: | M22 |
ISSN: | 0942-5616 |
DOI: | 10.1002/malq.201110037 |
Abstract: | 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. |
Keywords: | Aronszajn trees | Chang's Conjecture | Rado's Conjecture | Weak square principles |
Publisher: | Wiley |
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