# Sh:540

- Brendle, J., & Shelah, S. (1996).
*Evasion and prediction. II*. J. London Math. Soc. (2),**53**(1), 19–27. arXiv: math/9407207 DOI: 10.1112/jlms/53.1.19 MR: 1362683 -
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. - 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}, doi = {10.1112/jlms/53.1.19}, mrclass = {03E05 (03E35 20A10)}, mrnumber = {1362683}, mrreviewer = {Marion Scheepers}, doi = {10.1112/jlms/53.1.19}, note = {\href{https://arxiv.org/abs/math/9407207}{arXiv: math/9407207}}, arxiv_number = {math/9407207} }