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Uniqueness of homogeneous CAT(0) polygonal complexes

✍ Scribed by Lazarovich, Nir


Book ID
121565049
Publisher
Springer
Year
2013
Tongue
English
Weight
923 KB
Volume
168
Category
Article
ISSN
0046-5755

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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