Quasi-Compactness in Infinite Dimension
Algebraic Geometry
2026-04-10 v1
Abstract
We give extensive characterizations for an open subset of an affine space of arbitrary dimension, resp. of an inverse limit of prime spectra to be quasi-compact. Among other things weak stability, retro-compactness, and cylinder sets provide equivalent criteria in both settings. We also exhibit an example of a non-quasi-compact affine space.
Cite
@article{arxiv.2604.08026,
title = {Quasi-Compactness in Infinite Dimension},
author = {A. Bernhard Zeidler},
journal= {arXiv preprint arXiv:2604.08026},
year = {2026}
}