@article {IOPORT.00821348, author = {Barr\'e, Sylvain}, title = {Two-dimensional finite non-positively curved polyhedra of rank two. (Poly\`edres finis de dimension 2 \`a courbure $\leq 0$ et de rang 2.)}, year = {1995}, journal = {Annales de l'Institut Fourier}, volume = {45}, number = {4}, issn = {0373-0956}, pages = {1037-1059}, publisher = {Universit\'e Joseph Fourier, Grenoble; Association des Annales de l'Institut Fourier, Saint-Martin d'H\`eres}, doi = {10.5802/aif.1483}, abstract = {Summary: We locally define the notion of polyhedra of rank two for two-dimensional finite non-positively curved polyhedra. We prove that the universal covering of such a space is either the product of two trees or an Euclidean Tits building of rank two.}, identifier = {00821348}, }