کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4658339 | 1633095 | 2015 | 9 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
On the number of orbits of the homeomorphism group of solenoidal spaces
ترجمه فارسی عنوان
در تعداد مدارهای گروه هومیومورفیسم از فضاهای سلولی
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
هندسه و توپولوژی
چکیده انگلیسی
A continuum X is called solenoidal if it is circle-like and nonplanar. X is 1n-homogeneous if the action of its homeomorphism group Homeo(X) on X has exactly n orbits; i.e. there are exactly n types of points in X. Recently Jiménez-Hernández, Minc and Pellicer-Covarrubias [6] constructed a family of 1n-homogeneous solenoidal continua, for every n>2. Modifying the spaces obtained by them, as well as an earlier construction of the author for n=2, for every n>2 we construct two different uncountable families of arcless 1n-homogeneous solenoidal continua Σn and Σnâ². We also show that there is an uncountable family of countably nonhomogeneous solenoidal continua Σâ; i.e. each YâΣâ has (infinitely) countably many types of points. For every YâânâNΣnâªÎ£â any orbit of Homeo(Y) is uncountable. With respect to the degree of homogeneity, in the realm of solenoidal continua containing pseudoarcs, our examples complete the gap between homogeneous solenoids of pseudoarcs and uncountably nonhomogeneous pseudosolenoids. A number of questions related to the study is raised.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Topology and its Applications - Volume 182, 1 March 2015, Pages 98-106
Journal: Topology and its Applications - Volume 182, 1 March 2015, Pages 98-106
نویسندگان
Jan P. BoroÅski,