Please use this identifier to cite or link to this item: http://hdl.handle.net/10497/22032
Title: 
Authors: 
Subjects: 
Topological Rudin's lemma
Sober space
well-filtered space
D-space
Strong d-space
Issue Date: 
2020
Citation: 
Xu, X., & Zhao, D. (2020). On topological Rudin's lemma, well-filtered spaces and sober spaces. Topology and its Applications, 272, Article 107080. https://doi.org/10.1016/j.topol.2020.107080
Abstract: 
Based on the topological Rudin's Lemma, we introduce the notions of Rudin set and well-filtered determined set in a topological space. Using such sets, we formulate and prove some new characterizations of well-filtered
spaces and sober spaces. Part of the work was inspired by Xi and Lawson's work on well-filtered spaces. Our study also lead to the definition of a new class of spaces - the strong d-spaces, and some problems whose solutions will strengthen the understanding of the related structures.
Description: 
This is the final draft, after peer-review, of a manuscript published in Topology and Its Application. The published version is available online at https://doi.org/10.1016/j.topol.2020.107080
URI: 
ISSN: 
0166-8641 (print)
1879-3207 (online)
DOI: 
File Permission: 
Open
File Availability: 
With file
Appears in Collections:Journal Articles

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