A ug 2 00 4 LIMITS OF ( CERTAIN ) CAT ( 0 ) GROUPS , II : THE HOPF PROPERTY AND THE SHORTENING ARGUMENT
نویسنده
چکیده
This is the second in a series of papers about torsionfree groups which act properly and cocompactly on a CAT(0) metric space with isolated flats and relatively thin triangles. Our approach is to adapt the methods of Sela and others for wordhyperbolic groups to this context of non-positive curvature. The main result in this paper is that (under certain technical hypotheses) such a group as above is Hopfian. This (mostly) answers a question of Sela.
منابع مشابه
Limits of (certain) Cat(0) Groups, Ii: the Hopf Property and the Shortening Argument
This is the second in a series of papers about torsionfree groups which act properly and cocompactly on a CAT(0) metric space with isolated flats and relatively thin triangles. Our approach is to adapt the methods of Sela and others for wordhyperbolic groups to this context of non-positive curvature. The main result in this paper is that (under certain technical hypotheses) such a group as abov...
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تاریخ انتشار 2004