2 4 Ju n 20 05 Diagram rigidity for geometric amalgamations of free groups
نویسنده
چکیده
In this paper, we show that a class of 2-dimensional locally CAT(-1) spaces is topologically rigid: isomorphism of the fundamental groups is equivalent to the spaces being homeomorphic. An immediate application of this result is a diagram rigidity theorem for certain amalgamations of free groups. The direct limit of two such amalgamations are isomorphic if and only if there is an isomorphism between the respective diagrams.
منابع مشابه
Diagram rigidity for geometric amalgamations of free groups
In this paper, we show that a class of 2-dimensional locally CAT(-1) spaces is topologically rigid: isomorphism of the fundamental groups is equivalent to the spaces being homeomorphic. An immediate application of this result is a diagram rigidity theorem for certain amalgamations of free groups. The direct limits of two such amalgamations are isomorphic if and only if there is an isomorphism b...
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تاریخ انتشار 2008