Scales with various kinds of good points

Pierre Matet (1)

1 LMNO - Laboratoire de Mathématiques Nicolas Oresme

We study variants of (more or less) known square‐like principles obtained by replacing equality with covering. We show that these weaker principles are still strong enough to yield scales with many good (or even better) points. Such scales can be used to construct large pseudo‐Kurepa families.

Domaines: Logique [math.LO]

Pierre Matet. Scales with various kinds of good points. Mathematical Logic Quarterly, 2018, 64 (4-5), pp.349-370. ⟨10.1002/malq.201600047⟩. ⟨hal-02145570⟩