کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4661545 | 1344437 | 2006 | 32 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Superinjective simplicial maps of complexes of curves and injective homomorphisms of subgroups of mapping class groups II
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
هندسه و توپولوژی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
Let R be a compact, connected, orientable surface of genus g with p boundary components. Let C(R) be the complex of curves on R and be the extended mapping class group of R. Suppose that either g=2 and p⩾2 or g⩾3 and p⩾0. We prove that a simplicial map is superinjective if and only if it is induced by a homeomorphism of R. As a corollary, we prove that if K is a finite index subgroup of and is an injective homomorphism, then f is induced by a homeomorphism of R and f has a unique extension to an automorphism of . This extends the author's previous results about closed connected orientable surfaces of genus at least 3, to the surface R.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Topology and its Applications - Volume 153, Issue 8, 1 February 2006, Pages 1309-1340
Journal: Topology and its Applications - Volume 153, Issue 8, 1 February 2006, Pages 1309-1340