# Sh:1142

• Corson, S. M., & Shelah, S. (2019). Deeply concatenable subgroups might never be free. J. Math. Soc. Japan, 71(4), 1123–1136.
• Abstract:
We show that certain algebraic structures lack freeness in the absence of the axiom of choice. These include some subgroups of the Baer-Spevcker group \mathbb{Z}^\omega and the Hawaiian earring group. Applications to slenderness, completely metrizable topological groups, length functions and strongly bounded groups are also presented.
• published version (14p)
Bib entry
@article{Sh:1142,
author = {Corson, Samuel M. and Shelah, Saharon},
title = {{Deeply concatenable subgroups might never be free}},
journal = {J. Math. Soc. Japan},
fjournal = {Journal of the Mathematical Society of Japan},
volume = {71},
number = {4},
year = {2019},
pages = {1123--1136},
issn = {0025-5645},
mrnumber = {4023299},
mrclass = {20K20 (03E25 03E35 03E75)},
doi = {10.2969/jmsj/80498049},
note = {\href{https://arxiv.org/abs/1804.05538}{arXiv: 1804.05538}},
arxiv_number = {1804.05538}
}