Definable separability and second-countability in o-minimal structures

We show that separability and second-countability are first-order properties of topological spaces definable in o-minimal expansions of $(\mathbb R, \lt )$. We do so by introducing first-order characterizations – definable separability and definable secon

Authors

Pablo Andújar Guerrero (ORCID: https://orcid.org/0000-0001-5160-5366)

Institutions

Universitat de València (ES)

Publication Details

Journal: Fundamenta Mathematicae
Published: 2025-01-01
DOI: https://doi.org/10.4064/fm240424-17-1
Primary Topic: Advanced Topology and Set Theory
Type: article
Field-Weighted Citation Impact: 0.00

Funders

Purdue University
Engineering and Physical Sciences Research Council

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article

Definable separability and second-countability in o-minimal structures

Pablo Andújar Guerrero

Jan 1, 2025

Fundamenta Mathematicae

Advanced Topology and Set Theory

article

Definable separability and second-countability in o-minimal structures

Pablo Andújar Guerrero

January 1, 2025article en

Abstract

Fundamenta Mathematicae

Universitat de València (ES)

Purdue University, Engineering and Physical Sciences Research Council

Reduced inequalities

Openalex Percentile: Top 81%

Advanced Topology and Set Theory

DOI Open Access PDF OpenAlex

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Definable separability and second-countability in o-minimal structures — Pablo Andújar Guerrero · Fundamenta Mathematicae (2025) | TGRS Research Map | TGRS