A note on local properties in products

2015/05/31 by Paolo Lipparini, Lipparini, Paolo
Decision Sciences · Mathematics · #54B10 #54D20 #Advanced Banach Space Theory #Advanced Topology and Set Theory #FOS: Mathematics #Fuzzy and Soft Set Theory #General Topology (math.GN)

paper · pdf · doi:10.48550/arxiv.1506.00224

openalex publication_date 2015/05/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give conditions under which a product of topological spaces satisfies some local property. The conditions are necessary and sufficient when the corresponding global property is preserved under finite products. Further examples include local sequential compactness, local Lindelöfness, the local Menger property.

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