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On filling families of finite subsets of the Cantor set
Published online by Cambridge University Press: 01 July 2008
Abstract
Let ϵ > 0 and be a family of finite subsets of the Cantor set . Following D.H. Fremlin, we say that is ϵ-filling over if is hereditary and for every F ⊆ finite there exists G ⊆ F such that G ϵ and . We show that if is ϵ-filling over and C-measurable in , then for every P ⊆ perfect there exists Q ⊆ P perfect with . A similar result for weaker versions of density is also obtained.
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- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 145 , Issue 1 , July 2008 , pp. 165 - 175
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- Copyright © Cambridge Philosophical Society 2008
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