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  • Author or Editor: L Szabó x
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Abstract  

We prove that the family of all invariant sets of iterated systems of contractions R N R N is a nowhere dense F σ type subset in the space of the nonempty compact subsets of R N equipped with the Hausdorff metric.

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Consider a family of closed unit circular discs in the plane. Two discs are called neighbours if they have a point in common. Let N(d) denote the maximum possible number of neighbours of one disc in a family of unit circular discs, where the distance between any two circle centers is at least d. HereN(d) is determined for 1  between any two circle centers is at least d. HereN(d) is determined for 1

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