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The wi‐club filter on 𝒫 κ λ
Author(s) -
Piper Grace
Publication year - 2009
Publication title -
mathematical logic quarterly
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.473
H-Index - 28
eISSN - 1521-3870
pISSN - 0942-5616
DOI - 10.1002/malq.200710095
Subject(s) - filter (signal processing) , mathematics , club , basis (linear algebra) , pure mathematics , combinatorics , discrete mathematics , computer science , geometry , medicine , computer vision , anatomy
We develop the theory of C κ, λ i , a strongly normal filter over κ λ for Mahlo κ . We prove a minimality result, showing that any strongly normal filter containing { x ∈ 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)