# 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?”
• 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}
}