Timeline for Cardinal characteristics and $\mathfrak{c} < \aleph_\omega$

3 events

when toggle format	what		by	license	comment
2 hours ago	history	edited	Clement Yung	CC BY-SA 4.0	edited body
14 hours ago	comment	added	Will Brian		At one point in time, $\mathfrak d < \mathfrak a$ would have been a good answer to this question. Shelah's original proof of this inequality had $\mathfrak d >\!> \aleph_\omega$, with no obvious way of bringing the size down. But then later Shelah found a non-obvious way of doing it (template forcing) and found a model with $\aleph_2 = \mathfrak d < \mathfrak a = \aleph_3$. It is still an open problem whether $\aleph_1 = \mathfrak d < \mathfrak a$ is possible.
22 hours ago	history	asked	Clement Yung	CC BY-SA 4.0