2013•FilomatOpen access

A note on star-Hurewicz spaces

Yan-Kui Song, Rui Li

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.

Open-access reader

About this research paper

What this paper is about

Why it matters

OpenAlex reports 6 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

Key concepts: Star (game theory), Subspace topology, Tychonoff space, Mathematics, Regular space, Space (punctuation), Pure mathematics, Mathematical analysis