We show that it is consistent, relative to the consistency of a strongly inaccessible cardinal, that an instance of the generalized Borel Conjecture introduced in  holds while the classical Borel Conjecture fails.
This is an author-produced, peer-reviewed version of this article. © 2019, Elsevier. Licensed under the Creative Commons Attribution-NonCommercial-No Derivative Works 4.0 International license. The final, definitive version of this document can be found online at Topology and Its Applications, https://doi.org/10.1016/j.topol.2019.02.058
Creative Commons License
This work is licensed under a Creative Commons Attribution-NonCommercial-No Derivative Works 4.0 International License.
Scheepers, Marion. (2019). "On a Hypothesis for ℵ0-Bounded Groups". Topology and Its Applications, 258, 229-238. https://doi.org/10.1016/j.topol.2019.02.058