3 papers
math.AT2007
A long exact sequence in cohomology for deleted and restricted subspaces arrangements
Gery Debongnie
The notions of deleted and restricted arrangements have been useful in the study of arrangements of hyperplanes. If A is an arrangement of hyperplanes, x in A and A', A'' the delet…
math.AT2007
Homotopy Lie algebra of the complements of subspace arrangements with geometric lattices
G. Debongnie
Let A be a geometric arrangement such that codim(x) > 1 for every x in A. We prove that, if the complement space M(A) is rationally hyperbolic, then there exists an injective from…
math.AT2007
Rational homotopy type of subspace arrangements with a geometric lattice
G. Debongnie
Let A be a subspace arrangement with a geometric lattice such that codim(x) > 1 for every x in A. Using rational homotopy theory, we prove that the complement M(A) is rationally el…