- Working Paper
For locally finite CAT(0) cube complexes it is known that they are injectively metrizable choosing the l ∞ -norm on each cube. In this paper we show that cube complexes which are injective with respect to this metric are always CAT(0). Moreover we give a criterion for finite dimensional CAT(0) cube complexes with finite width to posses an injective metric. As a side result we prove a modification of Bridson's Theorem for cube complexes saying that finite dimensional cube complexes with l p -norms on the cubes are geodesic Show more
Journal / seriesarXiv
Pages / Article No.
Organisational unit03500 - Lang, Urs
NotesSubmitted 26 November 2014.
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