THE EXISTENCE OF A NON SPECIAL ARONSZAJN TREE AND TODORCEVIC ORDERINGS (Infinitary combinatorics in set theory and its applications)
輝幸 依岡 · Kyoto University Research Information Repository (Kyoto University) · 2015
It is proved that it is consistent that every forcing notions with $R_{1,\aleph_{1}}$ has precaliber $\aleph_{1}$ , every Todor\v{c}evi\v{c} ordering for any second countable Hausdorff space also has precaliber $\aleph_{1}$ , and there exists a non-special Aron- szajn tree.This slightly extends the previous work [16,18].