201. The Absolutely Strongly Star-Hurewicz Property with Respect to an Ideal
- Author
-
B. K. Tyagi, Sumit Singh, and Manoj Bhardwaj
- Subjects
Class (set theory) ,Sequence ,Property (philosophy) ,Dense set ,General Mathematics ,010102 general mathematics ,Star (graph theory) ,Space (mathematics) ,01 natural sciences ,010101 applied mathematics ,Combinatorics ,Ideal (ring theory) ,0101 mathematics ,Mathematics - Abstract
Aspace X is said to have the absolutely strongly star --Hurewicz (ASSH) property if for each sequence (𝒰 n : n ∈ )of opencovers of X and each dense subset Y of X, there is a sequence (Fn : n ∈ ) of finite subsets of Y such that for each x ∈ X, {n ∈ : x ∉ St(Fn , 𝒰 n )}∈ , where is the proper admissible ideal of . In this paper, we investigate the relationship between the ASSH property and other related properties and study the topological properties of the ASSH property. This paper generalizes several results of Song [25] to the larger class of spaces having the ASSH properties.
- Published
- 2020