학술논문
A note on star-Hurewicz spaces
Document Type
TEXT
Source
Subject
Language
English
Abstract
In this paper, we show the following statements: There exists a Tychonoff pseudocompact, star-Hurewicz space having a regular-closed subspace which is not star-Hurewicz; Assuming ω1 < b, there exists a Tychonoff strongly star-Hurewicz (hence star-Hurewicz) space having a regular-closed Gδ-subspace which is not star-Hurewicz (hence not strongly star-Hurewicz); An open Fσ-subset of a strongly star-Hurewicz space is strongly star-Hurewicz.