N ov 2 00 4 On continuous extension of grafting maps
نویسنده
چکیده
The definition of the grafting operation for quasifuchsian groups is extended by Bromberg [Br] to all b-groups. Although the grafting maps are not necessarily continuous at boundary groups, in this paper, we show that the grafting maps take every " standard " convergent sequence to a conver-gent sequence. As a consequence of this result, we extend Goldman's grafting theorem for quasifuchsian groups to all boundary b-groups.
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