A RANK-ONE COHESIVE SET

Authors
Citation
Rg. Downey et Y. Yue, A RANK-ONE COHESIVE SET, Annals of pure and applied Logic, 68(2), 1994, pp. 161-171
Citations number
13
Categorie Soggetti
Mathematics, Pure",Mathematics,Mathematics,Mathematics
ISSN journal
01680072
Volume
68
Issue
2
Year of publication
1994
Pages
161 - 171
Database
ISI
SICI code
0168-0072(1994)68:2<161:ARCS>2.0.ZU;2-L
Abstract
In this paper, we prove that there is a 170 class in 2omega with a uni que nonrecursive member, with that member a cohesive set. This solves an open question from Cenzer et al. (1993). The proof uses the DELTA3( 0) method in the context of the construction of a PI1(0) class.