PreprintCC BY 4.0arXiv
Remarks on ultrafilters exponentiation
Abstract
Recently, two exponentiations of ultrafilters have been introduced in [7]. We rephrase them in nonstandard terms, and use the nonstandard formulations to characterize some of their properties. We also study their relations with divisibility by introducing factor-picking functions and highly exponential ultrafilters.
Related
BibTeX
@misc{baglini2026remarks,
title = {{Remarks on ultrafilters exponentiation}},
author = {Lorenzo Luperi Baglini and Boris Šobot},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.16475},
eprint = {2610.16475},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.16475},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Remarks on ultrafilters exponentiation
AU - Lorenzo Luperi Baglini
AU - Boris Šobot
PY - 2026
DA - 2026/10/12
PB - arXiv
DO - 10.48550/arxiv.2610.16475
UR - https://arxiv.org/abs/2610.16475
AB - Recently, two exponentiations of ultrafilters have been introduced in [7]. We rephrase them in nonstandard terms, and use the nonstandard formulations to characterize some of their properties. We also study their relations with divisibility by introducing factor-picking functions and highly exponential ultrafilters.
ER -