کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
5777939 | 1633054 | 2017 | 12 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Reversible filters
ترجمه فارسی عنوان
فیلترهای برگشت پذیر
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
هندسه و توپولوژی
چکیده انگلیسی
A space is reversible if every continuous bijection of the space onto itself is a homeomorphism. In this paper we study the question of which countable spaces with a unique non-isolated point are reversible. By Stone duality, these spaces correspond to closed subsets in the Äech-Stone compactification of the natural numbers βÏ. From this, the following natural problem arises: given a space X that is embeddable in βÏ, is it possible to embed X in such a way that the associated filter of neighborhoods defines a reversible (or non-reversible) space? We give the solution to this problem in some cases. It is especially interesting whether the image of the required embedding is a weak P-set.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Topology and its Applications - Volume 225, 1 July 2017, Pages 34-45
Journal: Topology and its Applications - Volume 225, 1 July 2017, Pages 34-45
نویسندگان
Alan Dow, Rodrigo Hernández-Gutiérrez,