|
|||||
|
|
The 6-property for simplicial complexes and a combinatorial Cartan-Hadamard theorem for manifolds |
|
| Authors: | J M Corson B Trace |
| Institution: | Department of Mathematics, University of Alabama, Box 870350, Tuscaloosa, Alabama 35487-0350 ; Department of Mathematics, University of Alabama, Box 870350, Tuscaloosa, Alabama 35487-0350 |
| Abstract: | The 6-property for 2-dimensional simplicial complexes is the condition that every nontrivial circuit in the link of a vertex has length greater than or equal to six. If a compact  -manifold  has a 2-dimensional spine with the 6-property, then we show that the interior of  is covered by euclidean  -space. In dimension  , we show further that such a 3-manifold is Haken. |
| Keywords: | Manifold spine universal cover 6-property collapsing |
| 点击此处可从《Proceedings of the American Mathematical Society》浏览原始摘要信息 | |
| 点击此处可从《Proceedings of the American Mathematical Society》下载免费的PDF全文 | |