Some remarks on the Cesàro - Vietoris function

Abstract Some properties of the so-called Cesàro or Cesàro–Vietoris function are explored. The proofs require only basic mathematical knowledge, which is accessible to undergraduates. We will review some topological results and also address some of the algebraic properties of this function.

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Publication Details

Journal
Ricerche di Matematica
Published
2026-04-27
DOI
https://doi.org/10.1007/s11587-026-01107-7
Primary Topic
Algebraic and Geometric Analysis
Type
article
Field-Weighted Citation Impact
0.00

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article

Some remarks on the Cesàro - Vietoris function

Andrea Sfecci, Giuliano Klun
Ricerche di Matematica
Algebraic and Geometric Analysis
article

Some remarks on the Cesàro - Vietoris function

Andrea Sfecci, Giuliano Klun
article en

Abstract

Abstract Some properties of the so-called Cesàro or Cesàro–Vietoris function are explored. The proofs require only basic mathematical knowledge, which is accessible to undergraduates. We will review some topological results and also address some of the algebraic properties of this function.

Ricerche di Matematica
University of Trieste (IT), Istituto Tecnico Industriale Alessandro Volta (IT)
Istituto Nazionale di Alta Matematica "Francesco Severi", Università degli Studi di Trieste, Gruppo Nazionale per l'Analisi Matematica, la Probabilità e le loro Applicazioni
Openalex Percentile: Top 4%
Algebraic and Geometric Analysis
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