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The wi-club filter on κλ

✍ Scribed by Grace Piper

Publisher
John Wiley and Sons
Year
2009
Tongue
English
Weight
120 KB
Volume
55
Category
Article
ISSN
0044-3050

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✦ Synopsis

Abstract

We develop the theory of C~κ, λ~^i^, a strongly normal filter over 𝒫~κ~ λ for Mahlo κ. We prove a minimality result, showing that any strongly normal filter containing {x ∈ 𝒫~κ~ λ: |x | = |x ∩ κ | and |x | is inaccessible} also contains C~κ, λ~^i^. We also show that functions can be used to obtain a basis for C~κ, λ~^i^ (© 2009 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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