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A memo on bornologies and size functions

2022/05/18 by Paul Poncet, Poncet, Paul
Computer Science · Mathematics · #Advanced Topology and Set Theory #Computability, Logic, AI Algorithms #FOS: Mathematics #General Mathematics (math.GM) #Mathematical Dynamics and Fractals

paper · pdf · doi:10.48550/arxiv.2206.01533

openalex publication_date 2022/05/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We recall the notion of abstract bornology, and connect it with topological spaces and size functions. As a generalization of measures of non-compactness, we show how every size function can be mapped to a maxitive measure.

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