Work

Exponentiations of ultrafilters

Year: 2025

Type: article

Abstract: In recent years, several problems regarding the partition regularity of exponential configurations have been studied in the literature, in some cases using the properties of specific ultrafilters. In this paper, we start to lay down the foundations of a general theory of exponentiations of ultrafilters, with a particular focus on their combinatorial properties and the existence of idempotents.

Source: Semigroup Forum

DOI: 10.1007/s00233-025-10530-5

Author: Lorenzo Luperi Baglini

Institution: University of Milan

Language: English

Topic: Advanced Topology and Set Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,090

Funder: Università degli Studi di Milano