Sh:684

• Mildenberger, H., & Shelah, S. (2000). Changing cardinal characteristics without changing \omega-sequences or confinalities. Ann. Pure Appl. Logic, 106(1-3), 207–261. arXiv: math/9901096 DOI: 10.1016/S0168-0072(00)00026-9 MR: 1785760
• Abstract:
  We show: There are pairs of universes V_1\subseteq V_2 and there is a notion of forcing P\in V_1 such that the change mentioned in the title occurs when going from V_1[G] to V_2[G] for a P–generic filter G over V_2. We use forcing iterations with partial memories. Moreover, we implement highly transitive automorphism groups into the forcing orders.
• Version 2000-03-10_11 (60p) published version (55p)

@article{Sh:684,
 author = {Mildenberger, Heike and Shelah, Saharon},
 title = {{Changing cardinal characteristics without changing $\omega$-sequences or confinalities}},
 journal = {Ann. Pure Appl. Logic},
 fjournal = {Annals of Pure and Applied Logic},
 volume = {106},
 number = {1-3},
 year = {2000},
 pages = {207--261},
 issn = {0168-0072},
 mrnumber = {1785760},
 mrclass = {03E17 (03E35 03E55)},
 doi = {10.1016/S0168-0072(00)00026-9},
 note = {\href{https://arxiv.org/abs/math/9901096}{arXiv: math/9901096}},
 arxiv_number = {math/9901096}
}