More on ideal limit points
In this paper we continue the study of ideal limit points. We introduce a new combinatorial property of ideals called weakly P+, and investigate the relation between P+, weakly P+ and the complexity of ideal limit points. Moreover, we clarify the relation between ideal limit points, ideal cluster po...
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| Veröffentlicht in: | Topology and its applications Jg. 322; S. 108324 |
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| Format: | Journal Article |
| Sprache: | Englisch |
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Elsevier B.V
01.12.2022
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| ISSN: | 0166-8641 |
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| Abstract | In this paper we continue the study of ideal limit points. We introduce a new combinatorial property of ideals called weakly P+, and investigate the relation between P+, weakly P+ and the complexity of ideal limit points. Moreover, we clarify the relation between ideal limit points, ideal cluster points and ordinary ideal limit points. Finally, we investigate the projective hierarchy of ideal limit points. |
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| AbstractList | In this paper we continue the study of ideal limit points. We introduce a new combinatorial property of ideals called weakly P+, and investigate the relation between P+, weakly P+ and the complexity of ideal limit points. Moreover, we clarify the relation between ideal limit points, ideal cluster points and ordinary ideal limit points. Finally, we investigate the projective hierarchy of ideal limit points. |
| ArticleNumber | 108324 |
| Author | Zhang, Shuguo He, Xi Zhang, Hang |
| Author_xml | – sequence: 1 givenname: Xi orcidid: 0000-0002-8073-8923 surname: He fullname: He, Xi email: hexi@nsu.edu.cn, 342015258@qq.com organization: School of Mathematics and Science, Nanyang Institute of Technology, No.80 Changjiang Road, Nanyang, 473004, China – sequence: 2 givenname: Hang surname: Zhang fullname: Zhang, Hang email: zhanghangzh@sina.com, hzhangzh@gmail.com organization: School of Mathematics, Southwest Jiaotong University, Xipu Campus, West Park of Hi-Tech Zone, Chengdu, 610756, China – sequence: 3 givenname: Shuguo surname: Zhang fullname: Zhang, Shuguo email: zhangsg@scu.edu.cn organization: College of Mathematics, Sichuan University, No.24 South Section 1, Yihuan Road, Chengdu, 610065, China |
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| Cites_doi | 10.1016/j.topol.2018.11.022 10.1016/j.topol.2022.108061 10.1090/S0002-9939-1993-1181163-6 10.1016/j.topol.2012.04.007 10.2307/44154069 |
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| DOI | 10.1016/j.topol.2022.108324 |
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| References | Balcerzak, Leonetti (br0010) 2019; 252 Das (br0030) 2012; 159 Kechris (br0070) 2012; vol. 156 Kostyrko, Šalát, Wilczyński (br0080) 2000; 26 He, Zhang, Zhang (br0050) 2022; 312 Jech (br0060) 2003; vol. 14 Fridy (br0040) 1993; 118 Bartoszynski, Judah (br0020) 1995 Balcerzak (10.1016/j.topol.2022.108324_br0010) 2019; 252 Jech (10.1016/j.topol.2022.108324_br0060) 2003; vol. 14 Bartoszynski (10.1016/j.topol.2022.108324_br0020) 1995 Kechris (10.1016/j.topol.2022.108324_br0070) 2012; vol. 156 Fridy (10.1016/j.topol.2022.108324_br0040) 1993; 118 Das (10.1016/j.topol.2022.108324_br0030) 2012; 159 He (10.1016/j.topol.2022.108324_br0050) 2022; 312 Kostyrko (10.1016/j.topol.2022.108324_br0080) 2000; 26 |
| References_xml | – volume: 159 start-page: 2621 year: 2012 end-page: 2626 ident: br0030 article-title: Some further results on ideal convergence in topological spaces publication-title: Topol. Appl. – volume: 312 year: 2022 ident: br0050 article-title: The Borel complexity of ideal limit points publication-title: Topol. Appl. – volume: 26 start-page: 669 year: 2000 end-page: 685 ident: br0080 article-title: -convergence publication-title: Real Anal. Exch. – year: 1995 ident: br0020 article-title: Set Theory: on the Structure of the Real Line – volume: vol. 156 year: 2012 ident: br0070 article-title: Classical Descriptive Set Theory – volume: 118 start-page: 1187 year: 1993 end-page: 1192 ident: br0040 article-title: Statistical limit points publication-title: Proc. Am. Math. Soc. – volume: vol. 14 year: 2003 ident: br0060 article-title: Set Theory – volume: 252 start-page: 178 year: 2019 end-page: 190 ident: br0010 article-title: On the relationship between ideal cluster points and ideal limit points publication-title: Topol. Appl. – volume: 252 start-page: 178 year: 2019 ident: 10.1016/j.topol.2022.108324_br0010 article-title: On the relationship between ideal cluster points and ideal limit points publication-title: Topol. Appl. doi: 10.1016/j.topol.2018.11.022 – volume: 312 year: 2022 ident: 10.1016/j.topol.2022.108324_br0050 article-title: The Borel complexity of ideal limit points publication-title: Topol. Appl. doi: 10.1016/j.topol.2022.108061 – volume: 118 start-page: 1187 issue: 4 year: 1993 ident: 10.1016/j.topol.2022.108324_br0040 article-title: Statistical limit points publication-title: Proc. Am. Math. Soc. doi: 10.1090/S0002-9939-1993-1181163-6 – year: 1995 ident: 10.1016/j.topol.2022.108324_br0020 – volume: 159 start-page: 2621 issue: 10–11 year: 2012 ident: 10.1016/j.topol.2022.108324_br0030 article-title: Some further results on ideal convergence in topological spaces publication-title: Topol. Appl. doi: 10.1016/j.topol.2012.04.007 – volume: 26 start-page: 669 issue: 2 year: 2000 ident: 10.1016/j.topol.2022.108324_br0080 article-title: I-convergence publication-title: Real Anal. Exch. doi: 10.2307/44154069 – volume: vol. 156 year: 2012 ident: 10.1016/j.topol.2022.108324_br0070 – volume: vol. 14 year: 2003 ident: 10.1016/j.topol.2022.108324_br0060 |
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| Title | More on ideal limit points |
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