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On the closure of a class of subsets of the real line
Published online by Cambridge University Press: 24 October 2008
Extract
A subset, X, of R belongs to the family T(a) if |X| ≥ 2 and, for all x and y belonging to X, ax + (1 − a) y ∈ X, where a ∈ R.
I consider the problem of determining for which values of a > 1 all elements of T(a) are dense in R.
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- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 83 , Issue 2 , March 1978 , pp. 181 - 182
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- Copyright © Cambridge Philosophical Society 1978
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