Configurations of Flats, I: Manifolds of Points in the Projective Line

详细信息    查看全文

• 作者：Jorge L. Arocha ; Javier Bracho and Luis Montejano
• 关键词：Configurations ; Non ; Hausdorff spaces ; Surgery ; Polyhedral complexes ; Shellability ; Grassmannians ; Lattices ; Duality ; Compact manifolds
• 刊名：Discrete and Computational Geometry
• 出版年：2005
• 出版时间：July 2005
• 年：2005
• 卷：34
• 期：1
• 页码：111-128
• 全文大小：260 KB
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Combinatorics
  Computational Mathematics and Numerical Analysis
  
• 出版者：Springer New York
• ISSN：1432-0444

文摘

The topological manifolds arising from configurations of points in the realand complex projective lines are classified. Their topology andcombinatorics are described for the real case. A general setting for thestudy of the spaces of configurations of flats is established and aprojective duality among them is proved in its full generality.