Combinatorial and geometric methods in topology

@misc{citeulike:1428712, abstract = {Starting from the (apparently) elementary problem of deciding how many different topological spaces can be obtained by gluing together in pairs the faces of an octahedron, we will describe the central role played by hyperbolic geometry within three-dimensional topology. We will also point out the striking difference with the two-dimensional case, and we will review some of the results of the combinatorial and computational approach to three-manifolds developed by different mathematicians over the last several years.}, author = {Petronio, Carlo and With and Pervova, Ekaterina }, citeulike-article-id = {1428712}, eprint = {0706.4368}, keywords = {combinatoics, geometry, topology}, month = {Jun}, posted-at = {2007-07-02 18:53:46}, priority = {2}, title = {Combinatorial and geometric methods in topology}, url = {http://arxiv.org/abs/0706.4368}, year = {2007} }

TY - ELEC ID - citeulike:1428712 L3 - citeulike-article-id:1428712 TI - Combinatorial and geometric methods in topology N2 - Starting from the (apparently) elementary problem of deciding how many different topological spaces can be obtained by gluing together in pairs the faces of an octahedron, we will describe the central role played by hyperbolic geometry within three-dimensional topology. We will also point out the striking difference with the two-dimensional case, and we will review some of the results of the combinatorial and computational approach to three-manifolds developed by different mathematicians over the last several years. KW - combinatoics KW - geometry KW - topology AU - Petronio, Carlo AU - With AU - Pervova, Ekaterina PY - 2007/Jun/29/ UR - http://arxiv.org/abs/0706.4368 ER -