Consistency of SOCA at the aleph-two level

About 5 years old · traced to

Let SOCA(ℵ2)\textbf{SOCA}(\aleph_2) denote the version of the Open Coloring Axiom at cardinality ℵ2\aleph_2.

SOCA(ℵ2\aleph_2) consistency conjecture. The statement SOCA(ℵ2)\textbf{SOCA}(\aleph_2) is consistent.

The paper presents this as a step toward establishing the consistency of SOCA(ℵ2)\textbf{SOCA}(\aleph_2), following consistency techniques for SOCA(ℵ1)\textbf{SOCA}(\aleph_1). No resolution is supplied in the excerpt.

References

Primary source

Ivan Ongay-Valverde, “Ken's colorful questions”, arXiv:2111.00632 (2022).

Progress summary

Never refreshed

Nothing recorded yet. Refresh searches the literature and the public web for attempts on this problem, and writes the first summary here.

Solutions 0

No solutions have been posted yet.