On metrically complete Bruhat-Tits buildings (Q2844289)
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scientific article; zbMATH DE number 6202448
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On metrically complete Bruhat-Tits buildings |
scientific article; zbMATH DE number 6202448 |
Statements
28 August 2013
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Euclidian buildings
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metrical completeness
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spherical completeness
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On metrically complete Bruhat-Tits buildings (English)
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The aim of the paper is to determine which Bruhat-Tits buildings of dimension at least two are metrically complete.NEWLINENEWLINETheorem. The Bruhat-Tits building is metrically complete if and only if the completion of the associated alternative division algebra is spherically complete, up to certain cases involving infinite-dimensionality and residue characteristic 2.
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