Quasi-Compactness in Infinite Dimension
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866914461362683904 |
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| author | Zeidler, A. Bernhard |
| author_facet | Zeidler, A. Bernhard |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_08026 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Quasi-Compactness in Infinite Dimension Zeidler, A. Bernhard Algebraic Geometry 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. |
| title | Quasi-Compactness in Infinite Dimension |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2604.08026 |