# 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)

Bib entry

@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} }