کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
8903993 1633038 2018 18 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Parametrized Borsuk-Ulam theorems for free involutions on FPm×S3
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات هندسه و توپولوژی
پیش نمایش صفحه اول مقاله
Parametrized Borsuk-Ulam theorems for free involutions on FPm×S3
چکیده انگلیسی
Let X be a finitistic space with mod 2 cohomology algebra isomorphic to that of FPm×S3, where F=R,C or H. Let (X,E,π,B) be a fibre bundle and (Rk,E′,π′,B) be a k-dimensional real vector bundle with fibre preserving G=Z2 action such that G acts freely on E and E′−{0}, where {0} is the zero section of the vector bundle. We determine lower bounds for the cohomological dimension of the zero set f−1({0}) of a fibre preserving G-equivariant map f:E→E′. As an application of this result, we determine a lower bound for the cohomological dimension of the coincidence sets of continuous maps f:X→Rn. In particular, we estimate the size of the coincidence sets of continuous maps f:Si×S3→Rk relative to any free involution on Si×S3, (i=1,2,4).
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Topology and its Applications - Volume 241, 1 June 2018, Pages 20-37
نویسندگان
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