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引用次数: 2
摘要
文摘Aspace X据说绝对强烈恒星--Hurewicz(屁股H)财产如果每个序列(𝒰n: n∈)opencovers每个稠密子集X和Y的X有一个序列(Fn: n∈)的有限子集为每个X∈X, Y, {n∈:X∉圣(Fn𝒰n)}∈,是适当的容许的理想的地方。本文研究了ASSH属性与其他相关属性之间的关系，并研究了ASSH属性的拓扑性质。本文将Song[25]的几个结果推广到具有ASSH性质的更大的一类空间。
The Absolutely Strongly Star-Hurewicz Property with Respect to an Ideal
Abstract Aspace X is said to have the absolutely strongly star --Hurewicz (ASSH) property if for each sequence (𝒰n : 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, 𝒰n)}∈ , 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.
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