# Sh:731

- Mildenberger, H., & Shelah, S. (2002).
*The relative consistency of \mathfrak g<\mathrm{cf}(\mathrm{Sym}(\omega))*. J. Symbolic Logic,**67**(1), 297–314. arXiv: math/0009077 DOI: 10.2178/jsl/1190150045 MR: 1889552 -
Abstract:

We prove the consistency result from the title. By forcing we construct a model of \mathfrak{g}=\aleph_1, \mathfrak{b}={\rm cf}({\rm Sym}(\omega))=\aleph_2. - published version (19p)

Bib entry

@article{Sh:731, author = {Mildenberger, Heike and Shelah, Saharon}, title = {{The relative consistency of $\mathfrak g<\mathrm{cf}(\mathrm{Sym}(\omega))$}}, journal = {J. Symbolic Logic}, fjournal = {The Journal of Symbolic Logic}, volume = {67}, number = {1}, year = {2002}, pages = {297--314}, issn = {0022-4812}, doi = {10.2178/jsl/1190150045}, mrclass = {03E17 (03E35)}, mrnumber = {1889552}, mrreviewer = {E. Todd Eisworth}, doi = {10.2178/jsl/1190150045}, note = {\href{https://arxiv.org/abs/math/0009077}{arXiv: math/0009077}}, arxiv_number = {math/0009077} }