Sh:700
- Shelah, S. (2004). Two cardinal invariants of the continuum (\mathfrak d<\mathfrak a) and FS linearly ordered iterated forcing. Acta Math., 192(2), 187–223. Previous title “Are \mathfrak a and \mathfrak d your cup of tea?” arXiv: math/0012170 DOI: 10.1007/BF02392740 MR: 2096454
See [Sh:700a] -
Abstract:
We show that consistently, every MAD family has cardinality strictly bigger than the dominating number, that is \mathfrak{a} > \mathfrak{d}, thus solving one of the oldest problems on cardinal invariants of the continuum. The method is a contribution to the theory of iterated forcing for making the continuum large. - published version (37p)
Bib entry
@article{Sh:700, author = {Shelah, Saharon}, title = {{Two cardinal invariants of the continuum $(\mathfrak d<\mathfrak a)$ and FS linearly ordered iterated forcing}}, journal = {Acta Math.}, fjournal = {Acta Mathematica}, volume = {192}, number = {2}, year = {2004}, pages = {187--223}, issn = {0001-5962}, mrnumber = {2096454}, mrclass = {03E17 (03E35 03E40)}, doi = {10.1007/BF02392740}, note = {Previous title ``Are $\mathfrak a$ and $\mathfrak d$ your cup of tea?'' \href{https://arxiv.org/abs/math/0012170}{arXiv: math/0012170}}, arxiv_number = {math/0012170}, referred_from_entry = {See [Sh:700a]} }