Please use this identifier to cite or link to this item: http://hdl.handle.net/10497/22033
Title: 
Authors: 
Issue Date: 
2020
Citation: 
Wu, G., Xi, X., Xu, X., & Zhao, D. (2020). Existence of well-filterifications of T0 topological spaces. Topology and its Applications, 270, Article 107044. https://doi.org/10.1016/j.topol.2019.107044
Abstract: 
We prove that for every T0 space X, there is a well-filtered space W(X) and a continuous mapping ηx : X⭢ W(X), such that for any well-filtered space Y and any continuous mapping 𝒇 : X⭢Y there is a unique continuous mapping 𝒇^: W(X)⭢Y such that 𝒇=𝒇^∘ηX. Such a space W(X) will be called the well-filterification of X. This result gives a positive answer to one of the major open problems on well-filtered spaces. Another result on well-filtered spaces we will prove is that the product of two well-filtered spaces is well-filtered.
Description: 
This is the final draft, after peer-review, of a manuscript published in Topology and its Applications. The published version is available online at https://doi.org/10.1016/j.topol.2019.107044
URI: 
ISSN: 
0166-8641 (print)
1879-3207 (online)
DOI: 
File Permission: 
Open
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With file
Appears in Collections:Journal Articles

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