Some applications of numerosities in measure theory

DOI10.4171/RLM/690zbMath1309.26028arXiv1412.0713MaRDI QIDQ2264058

Vieri Benci, Emanuele Bottazzi, Mauro Di Nasso

Publication date: 20 March 2015

Published in: Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1412.0713

zbMATH Keywords

nonstandard analysismeasure theorynon-Archimedean mathematicsnumerosities

Mathematics Subject Classification ID

Axioms; other general questions in probability (60A05) Other connections with logic and set theory (28E15) Nonstandard analysis (26E35) Non-Archimedean analysis (26E30)

Related Items (2)

A real-valued measure on non-Archimedean field extensions of \(\mathbb{R}\) ⋮ Elementary numerosity and measures

Cites Work

• Unnamed Item
• Numerosities of labelled sets: A new way of counting
• An Aristotelian notion of size
• Elementary numerosity and measures
• How to Measure the Infinite
• Numerosities of point sets over the real line

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