TL;DR
This paper proves that compact Berkovich spaces over Laurent series fields are angelic and sequentially compact, enhancing understanding of their topological properties.
Contribution
It establishes that such Berkovich spaces are angelic and sequentially compact, which was previously unknown.
Findings
Berkovich spaces over Laurent series fields are angelic.
These spaces are sequentially compact.
Topological properties of Berkovich spaces are clarified.
Abstract
We prove that any compact Berkovich space over the field of Laurent series over an arbitrary field is angelic. In particular, is it sequentially compact.
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