کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
5777704 1633047 2017 7 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On the inheritance of orbifold substructures
ترجمه فارسی عنوان
در ارثی از زیر ساخت های اربیفولد
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات هندسه و توپولوژی
چکیده انگلیسی
In a previous article, we defined a very flexible notion of suborbifold and characterized those suborbifolds which can arise as the images of orbifold embeddings. In particular, suborbifolds are images of orbifold embeddings precisely when they are saturated and split. This article addresses the problem of orbifold structure inheritance for three orbifolds Q⊂P⊂O. We identify an appealing but ultimately inadequate notion of an inherited canonical orbifold substructure. In particular, we give a concrete example where the orbifold structure of Q is canonically inherited from P, and the orbifold structure of P is canonically inherited from O, but the orbifold structure of Q is not canonically inherited from O. On the other hand, it is easy to see that when Q is embedded in P, and P is embedded in O, all of the canonical inherited orbifold substructures will agree. We also investigate the property of saturation in this context, and give an example of a suborbifold with the canonical orbifold substructure that is not saturated.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Topology and its Applications - Volume 232, 1 December 2017, Pages 176-182
نویسندگان
, ,