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Geodesics in CAT(0) cubical complexes

✍ Scribed by Federico Ardila; Megan Owen; Seth Sullivant


Book ID
113411318
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
321 KB
Volume
48
Category
Article
ISSN
0196-8858

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Graphs of Some CAT(0) Complexes
✍ Victor Chepoi πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 389 KB

In this note, we characterize the graphs (1-skeletons) of some piecewise Euclidean simplicial and cubical complexes having nonpositive curvature in the sense of Gromov's CAT(0) inequality. Each such cell complex K is simply connected and obeys a certain flag condition. It turns out that if, in addit