کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
5777756 1633049 2017 26 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Restricting cohomology classes to disk and segment configuration spaces
ترجمه فارسی عنوان
محدود کردن کلاسهای هماهنگی به فضاهای پیکربندی دیسک و بخش
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات هندسه و توپولوژی
چکیده انگلیسی
The configuration space of n labeled disks of radius r inside the unit disk is denoted Confn,r(D2). We study how the cohomology of this space depends on r. In particular, given a cohomology class of Confn,0(D2), for which r does its restriction to Confn,r(D2) vanish? A related question: given the configuration space Segn,r(D2) of n labeled, oriented segments of length r, it has a map to (S1)n that records the direction of each segment. For which r does this angle map have a continuous section? The paper consists of a collection of partial results, and it contains many questions and conjectures.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Topology and its Applications - Volume 230, 1 October 2017, Pages 51-76
نویسندگان
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