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Orders of Indescribable Sets

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Abstract

We extract some properties of Mahlo’s operation and show that some other very natural operations share these properties. The weakly compact sets form a similar hierarchy as the stationary sets. The height of this hierarchy is a large cardinal property connected to saturation properties of the weakly compact ideal.

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Authors and Affiliations

  1. Department of Mathematics and Statistics, University of Helsinki, P.O. Box 68, 00014, Helsinki, Finland

    Alex Hellsten

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  1. Alex Hellsten
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Hellsten, A. Orders of Indescribable Sets. Arch. Math. Logic 45, 705–714 (2006). https://doi.org/10.1007/s00153-006-0015-1

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