Geodesic
The complexity of non-stationary ideals
Zbornik radova, Tome 22 (2025) no. 30, p. 449

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We present an overview of results on the question of whether the non-stationary ideal of an uncountable regular cardinal $\kappa$ can be defined by a $\Pi_1$-formula using parameters of hereditary cardinality at most $\kappa$. These results show that this question is deeply connected to several central topics of current research in set theory.
DOI : 10.64191/zr24040410113
Classification : 03E47 03E05, 03E35, 03E45
Keywords: club filters, non-stationary ideals, $\Delta_1$-definability, Canary trees, condensation principles, generalized descriptive set theory, stationary reflection 
Philipp Lücke. The complexity of non-stationary ideals. Zbornik radova, Tome 22 (2025) no. 30, p. 449 . doi: 10.64191/zr24040410113
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