EVADING PREDICTORS WITH CREATURES

Authors
SPINAS O
Citation
O. Spinas, EVADING PREDICTORS WITH CREATURES, Proceedings of the American Mathematical Society, 126(7), 1998, pp. 2103-2115
Citations number
13
Categorie Soggetti
Mathematics,Mathematics,Mathematics,Mathematics
Journal title
Proceedings of the American Mathematical Society → ACNP
ISSN journal
00029939
Volume
126
Issue
7
Year of publication
1998
Pages
2103 - 2115
Database
ISI
SICI code
0002-9939(1998)126:7<2103:EPWC>2.0.ZU;2-P
Abstract
We continue the theory of evasion and prediction which nas introduced by Blase and developed by Brendle, Shelah, and Laffamme. We prove that for arbitrary sufficiently different f, g is an element of (omega)ome ga, it is consistent to have e(g) < e(f), where e(f) is the evasion nu mber of the space Pi(n<omega) f(n). For this we apply a variant of She lah's ''creature forcing''.