On metrically complete Bruhat–Tits buildings

Metrical completeness for Bruhat-Tits buildings is a natural and useful condition. In this paper we determine which Bruhat-Tits buildings are metrically complete up to certain cases involving infinite-dimensionality and residue characteristic 2.

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Bibliographic Details
Published in:Advances in geometry 2013-07, Vol.13 (3), p.497-510
Main Authors: Martin, Benjamin, Schillewaert, Jeroen, Steinke, Günter F., Struyve, Koen
Format: Article
Language:English
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Description
Summary:Metrical completeness for Bruhat-Tits buildings is a natural and useful condition. In this paper we determine which Bruhat-Tits buildings are metrically complete up to certain cases involving infinite-dimensionality and residue characteristic 2.
ISSN:1615-715X
1615-7168
DOI:10.1515/advgeom-2012-0036