کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4657937 1633070 2016 19 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On the deleted squares of lens spaces
ترجمه فارسی عنوان
در مربع حذف شده از فضاهای لنز؟
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات هندسه و توپولوژی
چکیده انگلیسی

The configuration space F2(M)F2(M) of ordered pairs of distinct points in a manifold M, also known as the deleted square of M, is not a homotopy invariant of M: Longoni and Salvatore produced examples of homotopy equivalent lens spaces M and N   of dimension three for which F2(M)F2(M) and F2(N)F2(N) are not homotopy equivalent. They also asked whether two arbitrary 3-dimensional lens spaces M and N   must be homeomorphic in order for F2(M)F2(M) and F2(N)F2(N) to be homotopy equivalent. We give a partial answer to this question using a novel approach with the Cheeger–Simons differential characters.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Topology and its Applications - Volume 209, 15 August 2016, Pages 134–152
نویسندگان
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