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Configurations of Flats, I: Manifolds of Points in the Projective Line
Authors:Jorge L. Arocha  Javier Bracho  Luis Montejano
Affiliation:(1) Instituto de Matematicas, UNAM, Ciudad Universitaria, D.F. 04510, Mexico
Abstract:
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.
Keywords:Configurations  Non-Hausdorff spaces  Surgery  Polyhedral complexes  Shellability  Grassmannians  Lattices  Duality  Compact manifolds
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