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 limits of two such amalgamations are isomorphic if and only if there is an isomorphism between the respective diagrams. c © 2006 Elsevier B.V. All rights reserved. MSC: Primary: 20F65; secondary: 57M20
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تاریخ انتشار 2006