J. Group Theory 8 (2005), 229–238
نویسنده
چکیده
Croke and Kleiner [5] gave a construction for a family Xa : 0 < ac p 2 of CAT(0) spaces that each admit a geometric action by the same group G. They showed that qXa T qXp=2 for all a < p 2 . We show that in fact qXa T qXb for all a0 b, so that G is a CAT(0) group with uncountably many non-homeomorphic boundaries.
منابع مشابه
Two-Part and k-Sperner Families: New Proofs Using Permutations
This is a paper about the beauty of the permutation method. New and shorter proofs are given for the theorem [P. L. Erdős and G. O. H. Katona, J. Combin. Theory. Ser. A, 43 (1986), pp. 58–69; S. Shahriari, Discrete Math., 162 (1996), pp. 229–238] determining all extremal two-part Sperner families and for the uniqueness of k-Sperner families of maximum size [P. Erdős, Bull. Amer. Math. Soc., 51 ...
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