ℵ k -free cogenerators
Rendiconti del Seminario Matematico della Università di Padova, Tome 144 (2020), pp. 87-104.
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We prove in ZFC that an abelian group C is cotorsion if and only if Ext(F,C)=0 for every ℵ k -free group F, and discuss some consequences and related results. This short note includes a condensed overview of the λ ¯-Black Box for ℵ k -free constructions in ZFC.

Publié le :
DOI : 10.4171/rsmup/58
Classification : 13, 03, 20 
@article{RSMUP_2020__144__87_0,
     author = {Manfred Dugas and Daniel Herden and Saharon Shelah},
     title = {$\aleph_k$-free cogenerators},
     journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
     pages = {87--104},
     volume = {144},
     year = {2020},
     doi = {10.4171/rsmup/58},
     mrnumber = {4186448},
     zbl = {07367410},
     language = {en},
     url = {http://www.numdam.org/articles/10.4171/rsmup/58/}
}
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Manfred Dugas; Daniel Herden; Saharon Shelah. $\aleph_k$-free cogenerators. Rendiconti del Seminario Matematico della Università di Padova, Tome 144 (2020), pp. 87-104. doi : 10.4171/rsmup/58. http://www.numdam.org/articles/10.4171/rsmup/58/

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