Exponentiations of ultrafilters
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.
Authors
- Lorenzo Luperi Baglini (ORCID: https://orcid.org/0000-0002-0559-0770)
Institutions
- University of Milan (IT)
Publication Details
- Journal
- Semigroup Forum
- Published
- 2025-05-19
- DOI
- https://doi.org/10.1007/s00233-025-10530-5
- Primary Topic
- Groundwater flow and contamination studies
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Università degli Studi di Milano