Sequentially compact separable spaces

We consider the following variation of the Scarborough-Stone problem: Is $X^κ$ always countably compact whenever $X$ is separable and sequentially compact?

Authors

Paul J. Szeptycki (ORCID: https://orcid.org/0009-0008-0960-5811)
Alan Dow (ORCID: https://orcid.org/0000-0002-4643-1290)
César Corral (ORCID: https://orcid.org/0000-0001-5772-1018)

Publication Details

Journal: ArXiv.org
Published: 2025-07-20
Primary Topic: Advanced Banach Space Theory
Type: article
Field-Weighted Citation Impact: 0.00

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article

Sequentially compact separable spaces

Paul J. Szeptycki, Alan Dow, César Corral

Jul 20, 2025

ArXiv.org

Advanced Banach Space Theory

article

Sequentially compact separable spaces

Paul J. Szeptycki, Alan Dow, César Corral

July 20, 2025article en

Abstract

We consider the following variation of the Scarborough-Stone problem: Is $X^κ$ always countably compact whenever $X$ is separable and sequentially compact?

ArXiv.org

Openalex Percentile: Top 55%

Advanced Banach Space Theory

Open Access PDF OpenAlex

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Sequentially compact separable spaces — Paul J. Szeptycki, Alan Dow, et al. · ArXiv.org (2025) | TGRS Research Map | TGRS