Invariance properties of almost disjoint families

M. Arciga-Alejandre; M. Hrušák; C. Martinez-Ranero

doi:10.2178/jsl.7803160

Abstract

We answer a question of Garcia-Ferreira and Hrušák by consistently constructing a MAD family maximal in the Katětov order. We also answer several questions of Garcia-Ferreira.

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M. Arciga-Alejandre. M. Hrušák. C. Martinez-Ranero. "Invariance properties of almost disjoint families." J. Symbolic Logic 78 (3) 989 - 999, September 2013. https://doi.org/10.2178/jsl.7803160

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Published: September 2013

First available in Project Euclid: 6 January 2014

zbMATH: 1317.03032

MathSciNet: MR3135509

Digital Object Identifier: 10.2178/jsl.7803160

Subjects:

Primary: primary set theory; secondary logic

Keywords: cofinitary group , group of permutations , Ideals , Katetov , MAD family

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