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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