کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
8904193 1633045 2018 20 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Symmetric products and closed finite-to-one mappings
ترجمه فارسی عنوان
محصولات متقارن و بسته بندی محدود به یک
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات هندسه و توپولوژی
چکیده انگلیسی
In this paper, we continue the study of the symmetric products of generalized metric spaces in [39]. We consider the topological properties P such that the n-fold symmetric product Fn(X) of a topological space X has the topological properties P if and only if the space X or the product Xn does for each or some n∈N. Depending on the operations under closed subspaces, finite products and closed finite-to-one mappings, two general stability theorems are obtained on symmetric products. We can apply the methods to unify and simplify the proofs of some old results in the literature and obtain some new results on symmetric products, list or prove 68 topological properties which satisfy the general stability theorems, and give answers to Questions 3.6 and 3.35 in [39].
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Topology and its Applications - Volume 234, 1 February 2018, Pages 26-45
نویسندگان
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