4 problems

The diamond principle conjecture for mad families of block subspaces
Let $F$ be a countable field, and let $\diamondsuit(\omega^\omega,=^\infty)$ denote the parameterized diamond principle appearing in the source. Diamond principle conjecture. If…
opencardinal-invariants mad-families set-theory
0 responses
07
The cardinal-invariant lower-bound conjecture for mad families of subspaces
Let $F$ be a countable field, let $\mathrm{non}(\mathcal{M})$ denote the uniformity of the meager ideal, and let $\mathfrak{a}{\mathrm{vec},F}$ be the least cardinality of a mad famil…
opencardinal-invariants mad-families set-theory
0 responses
06
Existence of Sacks-indestructible MAD families below ${\aleph}_{\omega}$
Sacks-indestructibility conjecture. If
opencardinal-invariants mad-families set-theory
0 responses
01
Nonexistence of weakly tight families at ${\aleph}_1<\mathfrak{s}=\mathfrak{c}=\aleph_2$
Nonexistence conjecture. There is a model of
opencardinal-invariants mad-families set-theory
0 responses
03

The diamond principle conjecture for mad families of block subspaces