# Sh:540

• Brendle, J., & Shelah, S. (1996). Evasion and prediction. II. J. London Math. Soc. (2), 53(1), 19–27.
• Abstract:
A subgroup G\leq {\mathbb Z}^\omega exhibits the Specker phenomenon if every homomorphism G \to {\mathbb Z} maps almost all unit vectors to 0. We give several combinatorial characterizations of the cardinal \mathfrak{se}, the size of the smallest G\leq {\mathbb Z}^\omega exhibiting the Specker phenomenon. We also prove the consistency of {\bf b}< {\bf e}, where {\bf b} is the unbounding number and {\bf e} the evasion number. Our results answer several questions addressed by Blass.
• Version 1994-06-23_10 (13p) published version (9p)
Bib entry
@article{Sh:540,
author = {Brendle, J{\"o}rg and Shelah, Saharon},
title = {{Evasion and prediction. II}},
journal = {J. London Math. Soc. (2)},
fjournal = {Journal of the London Mathematical Society. Second Series},
volume = {53},
number = {1},
year = {1996},
pages = {19--27},
issn = {0024-6107},
mrnumber = {1362683},
mrclass = {03E05 (03E35 20A10)},
doi = {10.1112/jlms/53.1.19},
note = {\href{https://arxiv.org/abs/math/9407207}{arXiv: math/9407207}},
arxiv_number = {math/9407207}
}