[1]张晓媛,徐晓泉*.一个弱sober化不存在的例子[J].江西师范大学学报(自然科学版),2023,(06):558-561.[doi:10.16357/j.cnki.issn1000-5862.2023.06.02]
　ZHANG Xiaoyuan,XU Xiaoquan*.The Example of Nonexistence of Weakly Sobrification[J].Journal of Jiangxi Normal University:Natural Science Edition,2023,(06):558-561.[doi:10.16357/j.cnki.issn1000-5862.2023.06.02]
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一个弱sober化不存在的例子()
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《江西师范大学学报》（自然科学版）[ISSN:1006-6977/CN:61-1281/TN]

卷:
期数:
2023年06期
页码:
558-561
栏目:
数学与应用数学
出版日期:
2023-11-25

文章信息/Info

Title:
The Example of Nonexistence of Weakly Sobrification
文章编号:
1000-5862(2023)06-0558-04
作者:
张晓媛1; 徐晓泉2*
(1.河北金融学院大数据科学学院, 河北 保定 071051; 2.闽南师范大学数学与统计学院, 福建 漳州 363000)
Author(s):
ZHANG Xiaoyuan1; XU Xiaoquan2*
(1.School of Big Data Science,Hebei Finance University,Baoding Hebei 071051,China; 2.School of Mathematics and Statistics,Minnan Normal University,Zhangzhou Fujian 363000,China)
关键词:
拟sober空间;  弱sober空间;  cut空间;  反射子范畴
Keywords:
quasisober spaces;  weakly sober spaces;  cut spaces;  reflective subcategory
分类号:
Q 153.1
DOI:
10.16357/j.cnki.issn1000-5862.2023.06.02
文献标志码:
A
摘要:
该文基于偏序集的Alexandroff空间说明了以拟sober空间(弱sober空间,cut空间)为对象、以连续映射为态射的范畴QSob(WSob,Topcut)都不是Top0的反射子范畴.
Abstract:
In this paper,based on the Alexandroff spaces of posets,it is shown that none of the category of all quasisober spaces,that of all weakly sober spaces,that of all cut spaces is reflective in the category of all T0 spaces with continuous mappings in a different way.

参考文献/References:

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备注/Memo

备注/Memo:
收稿日期:2023-09-15
基金项目:国家自然科学基金(12071199)和河北省教育厅科学研究课题(QN2023023)资助项目.
更新日期/Last Update: 2023-11-25