Edit Profile (opens in new tab) Xu, Xiaoquan Co-Author Distance Author ID: xu.xiaoquan Published as: Xu, Xiaoquan; Xu, Xiao Quan; Xu, Xiao-Quan; Xu, Xiao-quan more...less Documents Indexed: 139 Publications since 1989, including 10 Additional arXiv Preprints Reviewing Activity: 22 Reviews Co-Authors: 48 Co-Authors with 110 Joint Publications 1,346 Co-Co-Authors all top 5 Co-Authors 27 single-authored 17 Zhang, Wenfeng 12 Bao, Meng 11 Xi, Xiaoyong 11 Zhao, Dongsheng 8 Zhang, Xiaoyuan 7 Luo, Shuzhen 7 Shen, Chong 7 Wen, Xinpeng 6 Ruan, Xiaojun 5 Liu, Yingming 5 Yang, Jinbo 4 Yao, Lijuan 3 Huang, Yan 3 Ling, Xuewei 3 Luo, Maokang 3 Qin, Feng 3 Zeng, Lihua 2 Bi, Hanyu 2 Kou, Hui 2 Rao, Sanping 2 Shan, Qidong 2 Xiong, Huaping 2 Xu, Fei 2 Yang, Zhongqiang 1 Bao, Bingjia 1 Cao, Manhua 1 Chen, Yao 1 Guo, Juntao 1 Jiang, Bixia 1 Kang, Jianping 1 Lei, Yi’an 1 Li, Dongchao 1 Li, Jiao 1 Li, Wenfeng 1 Li, Zhiming 1 Qu, Huanhuan 1 Shen, Rongxin 1 Shi, Xiaomei 1 Tao, Yanfang 1 Wu, Guohua 1 Xia, Xuan 1 Xiao, Xiaoying 1 Xiong, Wenliang 1 Xiong, Xianglong 1 Xu, Guanghong 1 Yan, Jun 1 Yan, Ying 1 Yang, Yingqian 1 Yu, Ting 1 Zhang, Chunbo all top 5 Serials 31 Fuzzy Systems and Mathematics 25 Topology and its Applications 14 Journal of Jiangxi Normal University. Natural Science Edition 6 Chinese Annals of Mathematics. Series A 4 Journal of Sichuan University. Natural Science Edition 4 Chinese Annals of Mathematics. Series B 4 MSCS. Mathematical Structures in Computer Science 3 Acta Mathematica Sinica 3 Semigroup Forum 3 Chinese Science Bulletin 3 Open Mathematics 2 Houston Journal of Mathematics 2 Applied Mathematics. Series A (Chinese Edition) 2 Acta Mathematica Sinica. Chinese Series 1 Computer Physics Communications 1 Algebra Universalis 1 Fundamenta Mathematicae 1 Mathematica Slovaca 1 Proceedings of the American Mathematical Society 1 Theoretical Computer Science 1 Transactions of the American Mathematical Society 1 Mathematics in Practice and Theory 1 Advances in Mathematics (Beijing) 1 Bulletin of the Iranian Mathematical Society 1 Order 1 Filomat 1 Acta Mathematica Sinica. English Series 1 Far East Journal of Mathematical Sciences 1 Chinese Journal of Contemporary Mathematics 1 Logical Methods in Computer Science all top 5 Fields 109 Order, lattices, ordered algebraic structures (06-XX) 75 General topology (54-XX) 11 Category theory; homological algebra (18-XX) 9 Mathematical logic and foundations (03-XX) 6 Topological groups, Lie groups (22-XX) 5 Real functions (26-XX) 5 Computer science (68-XX) 4 Number theory (11-XX) 3 Group theory and generalizations (20-XX) 3 Sequences, series, summability (40-XX) 2 Dynamical systems and ergodic theory (37-XX) 1 Statistical mechanics, structure of matter (82-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 50 Publications have been cited 222 times in 99 Documents Cited by ▼ Year ▼ On well-filtered reflections of \(T_0\) spaces. Zbl 1468.06018 Shen, Chong; Xi, Xiaoyong; Xu, Xiaoquan; Zhao, Dongsheng 21 2019 \(s_2\)-quasicontinuous posets. Zbl 1315.06007 Zhang, Wenfeng; Xu, Xiaoquan 18 2015 On \(T_0\) spaces determined by well-filtered spaces. Zbl 1476.54021 Xu, Xiaoquan; Shen, Chong; Xi, Xiaoyong; Zhao, Dongsheng 17 2020 On topological Rudin’s lemma, well-filtered spaces and sober spaces. Zbl 1477.06020 Xu, Xiaoquan; Zhao, Dongsheng 15 2020 A complete Heyting algebra whose Scott space is non-sober. Zbl 1498.06014 Xu, Xiaoquan; Xi, Xiaoyong; Zhao, Dongsheng 12 2021 First countability, \( \omega \)-well-filtered spaces and reflections. Zbl 1440.54017 Xu, Xiaoquan; Shen, Chong; Xi, Xiaoyong; Zhao, Dongsheng 9 2020 Topological representations of distributive hypercontinuous lattices. Zbl 1184.06004 Xu, Xiaoquan; Yang, Jinbo 9 2009 On H-sober spaces and H-sobrifications of \(T_0\) spaces. Zbl 1494.54015 Xu, Xiaoquan 8 2021 A direct approach to \(K\)-reflections of \(T_0\) spaces. Zbl 1434.54007 Xu, Xiaoquan 8 2020 The dual of a generalized completely distributive lattice is a hypercontinuous lattice. Zbl 1204.06005 Yang, Jinbo; Xu, Xiaoquan 8 2010 Regular relations and strictly completely regular ordered spaces. Zbl 1035.54017 Xu, Xiao-Quan; Liu, Ying-Ming 7 2004 The Scott topology and Lawson topology on a \(Z\)-quasicontinuous domain. Zbl 1046.06006 Xu, Xiaoquan; Liu, Yingming 7 2003 Quasi \(Z\)-continuous domains and \(Z\)-meet continuous domains. Zbl 1117.06005 Xu, Xiaoquan; Luo, Maokang; Huang, Yan 6 2005 Existence of well-filterifications of \(T_0\) topological spaces. Zbl 1485.54015 Wu, Guohua; Xi, Xiaoyong; Xu, Xiaoquan; Zhao, Dongsheng 6 2020 Completely precontinuous posets. Zbl 1339.06005 Zhang, Wenfeng; Xu, Xiaoquan 5 2014 Regular relations and normality of topologies. Zbl 1098.54019 Xu, Xiao-Quan; Luo, Mao-Kang 4 2006 On open well-filtered spaces. Zbl 1509.06005 Shen, Chong; Xi, Xiaoyong; Xu, Xiaoquan; Zhao, Dongsheng 4 2020 Meet precontinuous posets. Zbl 1339.06006 Zhang, Wenfeng; Xu, Xiaoquan 4 2014 Strictly complete regularity of the Lawson topology on a continuous poset. Zbl 0939.54011 Xu, Xiao-Quan 3 2000 Construction of homomorphisms of \(M\)-continuous lattices. Zbl 0841.06004 Xu, Xiao-Quan 3 1995 Coincidence of the upper Vietoris topology and the Scott topology. Zbl 07298383 Xu, Xiaoquan; Yang, Zhongqiang 3 2021 The \(\sigma_1\)-topology and \(\lambda_1\)-topology on \(s_1\)-quasicontinuous posets. Zbl 1344.06008 Zhang, Wenfeng; Xu, Xiaoquan 3 2016 Hypercontinuous posets. Zbl 1314.06008 Zhang, Wenfeng; Xu, Xiaoquan 3 2015 Some open problems on well-filtered spaces and sober spaces. Zbl 1473.54026 Xu, Xiaoquan; Zhao, Dongsheng 3 2021 On some kinds of weakly sober spaces. Zbl 1457.06003 Wen, Xinpeng; Xu, Xiaoquan 2 2020 Strongly topological gyrogroups and quotient with respect to \(L\)-subgyrogroups. Zbl 1521.54021 Bao, Meng; Ling, Xuewei; Xu, Xiaoquan 2 2021 A note on (strongly) topological gyrogroups. Zbl 1487.22002 Bao, Meng; Xu, Xiaoquan 2 2022 Semi-Scott topology and semi-Lawson topology on semicontinuous lattices. Zbl 1333.06008 Bi, Hanyu; Xu, Xiaoquan 2 2008 Sober is not always co-sober. Zbl 1401.06006 Wen, Xinpeng; Xu, Xiaoquan 2 2018 Frink quasicontinuous posets. Zbl 1397.06008 Zhang, Wenfeng; Xu, Xiaoquan 2 2017 \(s_{Z}\)-quasicontinuous posets and meet \(s_{Z}\)-continuous posets. Zbl 1475.06002 Ruan, Xiaojun; Xu, Xiaoquan 2 2017 The upper topology and interval topology on quasi-hypercontinuous posets. Zbl 1377.54006 Xu, Xiaoquan; Zhang, Wenfeng 2 2017 A completion-invariant extension of the concept of quasi \(C\)-continuous lattices. Zbl 1488.06013 Ruan, Xiaojun; Xu, Xiaoquan 2 2017 Regular relations and completely regular spaces. Zbl 1199.54138 Xu, Xiaoquan; Liu, Yingming 2 2008 Regular relations and normality of topologies. Zbl 1199.54135 Xu, Xiaoquan; Luo, Maokang 2 2009 Strongly algebraic lattices and conditions of minimal mapping preserving infs. Zbl 0801.06011 Xu, Xiaoquan 1 1994 Upper topology and interval topology on a complete lattice. Zbl 0948.06005 Xu, Xiaoquan; Liu, Yingming 1 1999 Rudin property and quasi \(Z\)-continuous domains. Zbl 1069.06502 Xu, Xiaoquan; Kou, Hui; Huang, Yan 1 2003 Regular relations and monotone normal ordered spaces. Zbl 1049.03036 Xu, Xiaoquan; Liu, Yingming 1 2004 A class of quotient spaces in strongly topological gyrogroups. Zbl 1518.54024 Bao, Meng; Shen, Rongxin; Xu, Xiaoquan 1 2022 Extension of Landau-fluid closure to weakly collisional plasma regime. Zbl 07683639 Chen, J. G.; Xu, X. Q.; Lei, Y. A. 1 2019 On almost sober spaces. Zbl 1483.54013 Shan, Qidong; Bao, Meng; Wen, Xinpeng; Xu, Xiaoquan 1 2022 Topological gyrogroups with Fréchet-Urysohn property and \(\omega^{\omega}\)-base. Zbl 07581242 Bao, Meng; Zhang, Xiaoyuan; Xu, Xiaoquan 1 2022 \(S_2\)-algebraic posets. Zbl 1349.06005 Zhang, Wenfeng; Xu, Xiaoquan 1 2015 A note on completely distributive lattices. Zbl 1222.06005 Yan, Ying; Yang, Jinbo; Xu, Xiaoquan 1 2011 The Hoare spaces and Smyth spaces of locally strongly compact spaces. Zbl 1240.54089 Yang, Jinbo; Xu, Xiaoquan 1 2010 Explicit transitive automorphisms of the closed unit square. Zbl 0693.54023 Xu, Xiao-Quan 1 1990 L-fuzzy perfect mappings. Zbl 0695.54009 Xu, Xiaoquan 1 1989 First-countability, \( \omega \)-Rudin spaces and well-filtered determined spaces. Zbl 1475.54012 Xu, Xiaoquan; Shen, Chong; Xi, Xiaoyong; Zhao, Dongsheng 1 2021 Split Hausdorff internal topologies on posets. Zbl 1435.06004 Luo, Shuzhen; Xu, Xiaoquan 1 2019 A note on (strongly) topological gyrogroups. Zbl 1487.22002 Bao, Meng; Xu, Xiaoquan 2 2022 A class of quotient spaces in strongly topological gyrogroups. Zbl 1518.54024 Bao, Meng; Shen, Rongxin; Xu, Xiaoquan 1 2022 On almost sober spaces. Zbl 1483.54013 Shan, Qidong; Bao, Meng; Wen, Xinpeng; Xu, Xiaoquan 1 2022 Topological gyrogroups with Fréchet-Urysohn property and \(\omega^{\omega}\)-base. Zbl 07581242 Bao, Meng; Zhang, Xiaoyuan; Xu, Xiaoquan 1 2022 A complete Heyting algebra whose Scott space is non-sober. Zbl 1498.06014 Xu, Xiaoquan; Xi, Xiaoyong; Zhao, Dongsheng 12 2021 On H-sober spaces and H-sobrifications of \(T_0\) spaces. Zbl 1494.54015 Xu, Xiaoquan 8 2021 Coincidence of the upper Vietoris topology and the Scott topology. Zbl 07298383 Xu, Xiaoquan; Yang, Zhongqiang 3 2021 Some open problems on well-filtered spaces and sober spaces. Zbl 1473.54026 Xu, Xiaoquan; Zhao, Dongsheng 3 2021 Strongly topological gyrogroups and quotient with respect to \(L\)-subgyrogroups. Zbl 1521.54021 Bao, Meng; Ling, Xuewei; Xu, Xiaoquan 2 2021 First-countability, \( \omega \)-Rudin spaces and well-filtered determined spaces. Zbl 1475.54012 Xu, Xiaoquan; Shen, Chong; Xi, Xiaoyong; Zhao, Dongsheng 1 2021 On \(T_0\) spaces determined by well-filtered spaces. Zbl 1476.54021 Xu, Xiaoquan; Shen, Chong; Xi, Xiaoyong; Zhao, Dongsheng 17 2020 On topological Rudin’s lemma, well-filtered spaces and sober spaces. Zbl 1477.06020 Xu, Xiaoquan; Zhao, Dongsheng 15 2020 First countability, \( \omega \)-well-filtered spaces and reflections. Zbl 1440.54017 Xu, Xiaoquan; Shen, Chong; Xi, Xiaoyong; Zhao, Dongsheng 9 2020 A direct approach to \(K\)-reflections of \(T_0\) spaces. Zbl 1434.54007 Xu, Xiaoquan 8 2020 Existence of well-filterifications of \(T_0\) topological spaces. Zbl 1485.54015 Wu, Guohua; Xi, Xiaoyong; Xu, Xiaoquan; Zhao, Dongsheng 6 2020 On open well-filtered spaces. Zbl 1509.06005 Shen, Chong; Xi, Xiaoyong; Xu, Xiaoquan; Zhao, Dongsheng 4 2020 On some kinds of weakly sober spaces. Zbl 1457.06003 Wen, Xinpeng; Xu, Xiaoquan 2 2020 On well-filtered reflections of \(T_0\) spaces. Zbl 1468.06018 Shen, Chong; Xi, Xiaoyong; Xu, Xiaoquan; Zhao, Dongsheng 21 2019 Extension of Landau-fluid closure to weakly collisional plasma regime. Zbl 07683639 Chen, J. G.; Xu, X. Q.; Lei, Y. A. 1 2019 Split Hausdorff internal topologies on posets. Zbl 1435.06004 Luo, Shuzhen; Xu, Xiaoquan 1 2019 Sober is not always co-sober. Zbl 1401.06006 Wen, Xinpeng; Xu, Xiaoquan 2 2018 Frink quasicontinuous posets. Zbl 1397.06008 Zhang, Wenfeng; Xu, Xiaoquan 2 2017 \(s_{Z}\)-quasicontinuous posets and meet \(s_{Z}\)-continuous posets. Zbl 1475.06002 Ruan, Xiaojun; Xu, Xiaoquan 2 2017 The upper topology and interval topology on quasi-hypercontinuous posets. Zbl 1377.54006 Xu, Xiaoquan; Zhang, Wenfeng 2 2017 A completion-invariant extension of the concept of quasi \(C\)-continuous lattices. Zbl 1488.06013 Ruan, Xiaojun; Xu, Xiaoquan 2 2017 The \(\sigma_1\)-topology and \(\lambda_1\)-topology on \(s_1\)-quasicontinuous posets. Zbl 1344.06008 Zhang, Wenfeng; Xu, Xiaoquan 3 2016 \(s_2\)-quasicontinuous posets. Zbl 1315.06007 Zhang, Wenfeng; Xu, Xiaoquan 18 2015 Hypercontinuous posets. Zbl 1314.06008 Zhang, Wenfeng; Xu, Xiaoquan 3 2015 \(S_2\)-algebraic posets. Zbl 1349.06005 Zhang, Wenfeng; Xu, Xiaoquan 1 2015 Completely precontinuous posets. Zbl 1339.06005 Zhang, Wenfeng; Xu, Xiaoquan 5 2014 Meet precontinuous posets. Zbl 1339.06006 Zhang, Wenfeng; Xu, Xiaoquan 4 2014 A note on completely distributive lattices. Zbl 1222.06005 Yan, Ying; Yang, Jinbo; Xu, Xiaoquan 1 2011 The dual of a generalized completely distributive lattice is a hypercontinuous lattice. Zbl 1204.06005 Yang, Jinbo; Xu, Xiaoquan 8 2010 The Hoare spaces and Smyth spaces of locally strongly compact spaces. Zbl 1240.54089 Yang, Jinbo; Xu, Xiaoquan 1 2010 Topological representations of distributive hypercontinuous lattices. Zbl 1184.06004 Xu, Xiaoquan; Yang, Jinbo 9 2009 Regular relations and normality of topologies. Zbl 1199.54135 Xu, Xiaoquan; Luo, Maokang 2 2009 Semi-Scott topology and semi-Lawson topology on semicontinuous lattices. Zbl 1333.06008 Bi, Hanyu; Xu, Xiaoquan 2 2008 Regular relations and completely regular spaces. Zbl 1199.54138 Xu, Xiaoquan; Liu, Yingming 2 2008 Regular relations and normality of topologies. Zbl 1098.54019 Xu, Xiao-Quan; Luo, Mao-Kang 4 2006 Quasi \(Z\)-continuous domains and \(Z\)-meet continuous domains. Zbl 1117.06005 Xu, Xiaoquan; Luo, Maokang; Huang, Yan 6 2005 Regular relations and strictly completely regular ordered spaces. Zbl 1035.54017 Xu, Xiao-Quan; Liu, Ying-Ming 7 2004 Regular relations and monotone normal ordered spaces. Zbl 1049.03036 Xu, Xiaoquan; Liu, Yingming 1 2004 The Scott topology and Lawson topology on a \(Z\)-quasicontinuous domain. Zbl 1046.06006 Xu, Xiaoquan; Liu, Yingming 7 2003 Rudin property and quasi \(Z\)-continuous domains. Zbl 1069.06502 Xu, Xiaoquan; Kou, Hui; Huang, Yan 1 2003 Strictly complete regularity of the Lawson topology on a continuous poset. Zbl 0939.54011 Xu, Xiao-Quan 3 2000 Upper topology and interval topology on a complete lattice. Zbl 0948.06005 Xu, Xiaoquan; Liu, Yingming 1 1999 Construction of homomorphisms of \(M\)-continuous lattices. Zbl 0841.06004 Xu, Xiao-Quan 3 1995 Strongly algebraic lattices and conditions of minimal mapping preserving infs. Zbl 0801.06011 Xu, Xiaoquan 1 1994 Explicit transitive automorphisms of the closed unit square. Zbl 0693.54023 Xu, Xiao-Quan 1 1990 L-fuzzy perfect mappings. Zbl 0695.54009 Xu, Xiaoquan 1 1989 all cited Publications top 5 cited Publications all top 5 Cited by 82 Authors 40 Xu, Xiaoquan 19 Li, Qingguo 15 Zhao, Dongsheng 13 Zhang, Wenfeng 10 Xi, Xiaoyong 9 Shen, Chong 6 Xu, Luoshan 4 Jia, Xiaodong 4 Luo, Shuzhen 4 Miao, Hualin 4 Zhang, Zhongxi 3 Bao, Meng 3 Chen, Siheng 3 He, Qingyu 3 Lu, Chongxia 3 Ruan, Xiaojun 3 Shi, Fu-Gui 3 Wen, Xinpeng 3 Wu, Guohua 3 Yang, Jinbo 3 Yuan, Zhenzhu 2 Erné, Marcel 2 Ho, Weng Kin 2 Liu, Bei 2 Liu, Limin 2 Yang, Lingyun 2 Yang, Zhongqiang 2 Zhang, Jing 2 Zhao, Bin 2 Zhao, Ping 1 Cao, Taotao 1 Chen, Yu 1 El-Sheikh, Sobhy Ahmed 1 Ershov, Yuriĭ Leonidovich 1 Finocchiaro, Carmelo Antonio 1 Goswami, Amartya 1 Goubault-Larrecq, Jean 1 He, Zhengmao 1 Höhle, Ulrich 1 Hosny, Mona 1 Hou, Huijun 1 Jin, Mengjie 1 Kandil, Ali 1 Keimel, Klaus 1 Kubiak, Tomasz 1 Lai, Hongliang 1 Lawson, Jimmie Don 1 Li, Dongchao 1 Li, Gaolin 1 Li, Jinjin 1 Li, Shenggang 1 Li, Wenfeng 1 Li, Zhiming 1 Liang, Jihua 1 Liu, Dexian 1 Liu, Min 1 Liu, Yingming 1 Luo, Maokang 1 Lyu, Zhenchao 1 Mao, Xuxin 1 Mislove, Michael W. 1 Panti, Giovanni 1 Poncet, Paul 1 Shan, Qidong 1 Shen, Lili 1 Shen, Rongxin 1 Šlapal, Josef 1 Spirito, Dario 1 Sun, Tao 1 El-Tantawy, Osama A. 1 Wang, Kaiyun 1 Wang, Longchun 1 Xu, Bo 1 Xu, Xiaoqu 1 Yang, Mei 1 Yao, Lingjuan 1 Yue, Yueli 1 Zhang, Xiaoyuan 1 Zhang, Yujing 1 Zhou, Jie 1 Zhou, Yihui 1 Zou, Zhiwei all top 5 Cited in 28 Serials 35 Topology and its Applications 7 MSCS. Mathematical Structures in Computer Science 5 Houston Journal of Mathematics 5 Acta Mathematica Sinica. English Series 5 Open Mathematics 3 Semigroup Forum 3 Order 2 Communications in Algebra 2 Algebra Universalis 2 Theoretical Computer Science 2 Chinese Annals of Mathematics. Series B 1 Computers & Mathematics with Applications 1 Journal of Mathematical Analysis and Applications 1 Rocky Mountain Journal of Mathematics 1 Algebra and Logic 1 Fundamenta Mathematicae 1 Fuzzy Sets and Systems 1 Journal of Pure and Applied Algebra 1 Mathematica Slovaca 1 Quaestiones Mathematicae 1 Results in Mathematics 1 Applied Categorical Structures 1 Journal of the Egyptian Mathematical Society 1 Filomat 1 Theory and Applications of Categories 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Logical Methods in Computer Science 1 Universal Journal of Mathematics and Mathematical Sciences all top 5 Cited in 11 Fields 78 Order, lattices, ordered algebraic structures (06-XX) 68 General topology (54-XX) 12 Category theory; homological algebra (18-XX) 8 Computer science (68-XX) 5 Group theory and generalizations (20-XX) 3 Mathematical logic and foundations (03-XX) 2 Topological groups, Lie groups (22-XX) 1 Combinatorics (05-XX) 1 Commutative algebra (13-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Convex and discrete geometry (52-XX) Citations by Year