On locally LC-spaces

1998/12/07 by Julian Dontchev, Dontchev, Julian, Maximilian Ganster +4
Decision Sciences · Mathematics · #54A05 #54D20 #54D45 #54G99 #Advanced Topology and Set Theory #FOS: Mathematics #Fuzzy and Soft Set Theory #General Topology (math.GN) #Rings, Modules, and Algebras #math.GN #msc:54A05 #msc:54D20 #msc:54D45 #msc:54G99

paper · pdf · doi:10.48550/arxiv.math/9812038

6 pages

arxiv created 1998/12/07 · openalex publication_date 1998/12/07 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A topological space (X,τ) is called a locally LC-space if every point of X has a neighborhood U such that every Lindelöf subset of (U,τ|U) is a closed subset of (U,τ|U). The aim of this paper is to continue the study of locally LC-spaces.

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