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arXiv · 2604.08026

Quasi-Compactness in Infinite Dimension

A. Bernhard Zeidler
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Abstract

We give extensive characterizations for an open subset of an affine space of arbitrary dimension and, respectively, 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.

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A. Bernhard Zeidler. 2026-04-09. Quasi-Compactness in Infinite Dimension. https://arxiv.org/abs/2604.08026

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