Projective graph theory and configurations of lines
The spaces of disjoint configurations of k-dimensional subspaces in ℝP 2k+1 (for example, lines in ℝP 3) are studied. These spaces are modeled by various simplicial schemes, and the homology groups of the latter are computed in certain cases. We use the fact that every configuration can be assigned a so-called projective graph, which is a class of graphs with respect to a certain equivalence relation. Bibliography: 5 titles.
KeywordsChain Complex Geometric Realization Isotopy Class Projective Graph Matrix Configuration
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