Publication Date:
2025
Citation:
Exponentiations of ultrafilters / L. Luperi Baglini. - In: SEMIGROUP FORUM. - ISSN 0037-1912. - 110:3(2025 Jun), pp. 640-654. [10.1007/s00233-025-10530-5]
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.
IRIS type:
01 - Articolo su periodico
Keywords:
Stone–Cech compactification; Idempotents; Exponential triples; Partition regularity
List of contributors:
L. Luperi Baglini
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