Consistency of SOCA at the aleph-two level

From papers

Let SOCA(2)\textbf{SOCA}(\aleph_2) denote the version of the Open Coloring Axiom at cardinality 2\aleph_2.

SOCA(2\aleph_2) consistency conjecture. The statement SOCA(2)\textbf{SOCA}(\aleph_2) is consistent.

The paper presents this as a step toward establishing the consistency of SOCA(2)\textbf{SOCA}(\aleph_2), following consistency techniques for SOCA(1)\textbf{SOCA}(\aleph_1). No resolution is supplied in the excerpt.

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Sources & referencesView supporting material

Primary source

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

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