 97248 Guiol H.
 A note about a Burton Keane's theorem.
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Apr 29, 97

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Abstract. In BurtonKeane's structural paper, "Topological and metric properties
of infinite clustering in stationary twodimensional site percolation"
{\sl Isr. J. Math.} {\bf 76}, No 3, 299316, (1991), a situation has not
been lightened, such that the proof of their result about the
topological structure of ribbons in the twodimensional site percolation
has a gap. We introduce the confluent zone notion and prove, using
BurtonKeane's arguments, the almost surely absence of these zones (This
completes the proof of the topological structure of ribbons announced by
the authors). In the end we give a alternative proof of the corollary of
their Theorem 2.
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