PreprintCC BY 4.0arXiv
Stationary Limits of the Point Spectrum
Abstract
We give an example of a directed set whose Tukey spectrum is not closed under stationary limits. This is a counterexample to a theorem due to Isbell from the 60's. We isolate a combinatorial principle arising from our example, between stationary reflection and weak compactness.
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BibTeX
@misc{benhamou2026stationary,
title = {{Stationary Limits of the Point Spectrum}},
author = {Tom Benhamou and Hannes Jakob},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.38947},
eprint = {2610.38947},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.38947},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Stationary Limits of the Point Spectrum
AU - Tom Benhamou
AU - Hannes Jakob
PY - 2026
DA - 2026/10/28
PB - arXiv
DO - 10.48550/arxiv.2610.38947
UR - https://arxiv.org/abs/2610.38947
AB - We give an example of a directed set whose Tukey spectrum is not closed under stationary limits. This is a counterexample to a theorem due to Isbell from the 60's. We isolate a combinatorial principle arising from our example, between stationary reflection and weak compactness.
ER -