کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4658617 | 1633114 | 2014 | 14 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Equivariant embeddings of metrizable proper G-spaces
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
هندسه و توپولوژی
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چکیده انگلیسی
For a locally compact group G we consider the class G-MG-M of all proper (in the sense of R. Palais) G-spaces that are metrizable by a G -invariant metric. We show that each X∈G-MX∈G-M admits a compatible G-invariant metric whose closed unit balls are small subsets of X. This is a key result to prove that X admits a closed equivariant embedding into an invariant convex subset V of a Banach G-space L such that L∖{0}∈G-ML∖{0}∈G-M and V is a G -absolute extensor for the class G-MG-M. On this way we establish two equivariant embedding results for proper G-spaces which may be considered as equivariant versions of the well-known Kuratowski–Wojdyslawski theorem and Arens–Eells theorem, respectively.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Topology and its Applications - Volume 163, 15 February 2014, Pages 11–24
Journal: Topology and its Applications - Volume 163, 15 February 2014, Pages 11–24
نویسندگان
Natella Antonyan, Sergey Antonyan, Elena Martín-Peinador,