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Divisible Properties and the Stone-Čech Compactification

Published online by Cambridge University Press:  20 November 2018

S. Glasner
S. Glasner*
Affiliation:
Tel-Aviv University, Tel-Aviv, Israel
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Let T be an abelian infinite countable group. We say that a property of subsets of T is divisible if it satisfies the following requirements. (We identify with the set of all subsets of T which satisfy .)

  1. (i) ∅ ∉ and T ∈

  2. (ii) A ∈ and B ⊃ A implies B ∈

  3. (iii) A ∈ and A = B1 ∪ B2 implies that either B1 or B2 is in

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 32 , Issue 4 , April 1980 , pp. 993 - 1007
Copyright
Copyright © Canadian Mathematical Society 1980

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