کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
8904156 | 1633044 | 2018 | 6 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Comparing spaces by means of 2-homeomorphisms
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
هندسه و توپولوژی
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چکیده انگلیسی
Topological spaces X and Y are called 2-homeomorphic if there exist homeomorphic closed subspaces of X and Y such that their complements are also homeomorphic. We give some sufficient conditions for spaces to be 2-homeomorphic. In particular, we show that if a space Y is conjugate to a space X, then X and Y are 2-homeomorphic (Theorem 2.1). The complement RnâF of an arbitrary compact subset in the Euclidean space Rn is 2-homeomorphic to Rn (Theorem 3.4). Some necessary conditions for two spaces to be 2-homeomorphic are also given. In particular, we capitalize on the next simple fact: if X and Y are nonempty 2-homeomorphic spaces, then some nonempty open subspaces U and V of X and Y, respectively, are homeomorphic (Lemma 2.2; see also Section 4).
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Topology and its Applications - Volume 235, 15 February 2018, Pages 113-118
Journal: Topology and its Applications - Volume 235, 15 February 2018, Pages 113-118
نویسندگان
A.V. Arhangel'skii, Ju.A. Maksyuta,