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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Vydáno v:Topology and its applications Ročník 322; s. 108324
Hlavní autoři: He, Xi, Zhang, Hang, Zhang, Shuguo
Médium: Journal Article
Jazyk:angličtina
Vydáno: Elsevier B.V 01.12.2022
Témata:
formula omitted
Ideal cluster points
Ideal limit points
Weakly [formula omitted]
secondary
P
Ideal cluster points
Ideal limit points
Weakly P
primary
ISSN:0166-8641
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Shrnutí: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.
ISSN:0166-8641
DOI:10.1016/j.topol.2022.108324