کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
8904065 | 1633039 | 2018 | 11 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Involutions of Hilbert cubes that are hyperspaces of Peano continua
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
هندسه و توپولوژی
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چکیده انگلیسی
Let α be an involution of a Peano continuum X with nowhere dense fixed point set. Let αâ be the induced involution on the hyperspace 2X of nonempty closed subsets of X topologized by a Hausdorff metric. Let Eâ2X be a non-degenerate, αâ-invariant hyperspace of X that is an inclusion or growth hyperspace in the sense of Curtis and Schori, and assume that the complement of {X} in E is contractible. Let S(E) be its fixed point set. If E is an inclusion hyperspace, then the restriction αËâ of αâ to E is conjugate with the involution idÃÏ of the Hilbert cube S(E)ÃÎ iâ¥1Ii, where Ï is the involution of Î iâ¥1Ii that reflects each coordinate across its mid-point. If E is a growth hyperspace of X and X contains no open subset homeomorphic to an arc, then the same result holds. In either case, if the complement of {X} in S(E) is contractible, then αËâ is conjugate with the involution Ï of Î iâ¥1Ii that reflects each even coordinate across its mid-point.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Topology and its Applications - Volume 240, 15 May 2018, Pages 238-248
Journal: Topology and its Applications - Volume 240, 15 May 2018, Pages 238-248
نویسندگان
J. West,