SUSLINS HYPOTHESIS DOES NOT IMPLY STATIONARY ANTICHAINS

Authors
SCHLINDWEIN C
Citation
C. Schlindwein, SUSLINS HYPOTHESIS DOES NOT IMPLY STATIONARY ANTICHAINS, Annals of pure and applied Logic, 64(2), 1993, pp. 153-167
Citations number
9
Categorie Soggetti
Mathematics, Pure",Mathematics,Mathematics,Mathematics
Journal title
Annals of pure and applied Logic → ACNP
ISSN journal
01680072
Volume
64
Issue
2
Year of publication
1993
Pages
153 - 167
Database
ISI
SICI code
0168-0072(1993)64:2<153:SHDNIS>2.0.ZU;2-R
Abstract
Shelah has shown that Suslin's hypothesis does not imply every Aronsza jn tree is special. We improve this result by constucting a model of S uslin's hypothesis in which some Aronszajn tree has no antichain whose levels constitute a stationary set. The main point is a new preservat ion theorem, the proof of which illustrates the usefulness of certain ideas in [8, Section 1].