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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2510.00848 |
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Table of Contents:
- We develop general foundations of topological algebra over a linearly topologized ring k in a format applicable to both formal schemes and analytic adic spaces. We are especially interested in determining exact closed tensor categories of complete linearly topologized k-modules, with enough projectives or injectives. For k a widely generalized adic ring, we describe here a few examples of such categories consisting of bounded modules. The application to the construction of quasi-coherent modules over formal schemes will be given elsewhere.