AbstractWe give an 'oriented matroid generalization' of the following Deligne's theorem [8]:The complement of the complexification of a real simplicial arrangement of hyperplanes is a K(π, 1) space
We introduce the notion of k-hyperclique complexes, i.e., the largest simplicial complexes on the se...
It is known that there exist hyperplane arrangements with the same underlying matroid that admit no...
In this thesis, we study simplicial arrangements of hyperplanes. Classically, a simplicial arrangeme...
A toric arrangement is a finite set of hypersurfaces in a complex torus, every hypersurface being th...
Abstract. We study arrangements of pseudohyperplanes (hyperplanes that are topologically deformed in...
We define a partial ordering on the set $ \mathcal {Q}=\mathcal {Q}(\mathsf {M})$ of pairs of topes...
An arrangement is a collection of subspaces of a topological space. For example, a set of codimensio...
AbstractIn the first section we introduce a certain class of sellular complexes, called metrical- he...
The dissertation is concerned with topological invariants of arrangements of hyperplanes in complex ...
This is a glossary of notions and methods related with the topological theory of collections of affi...
AbstractWe generalize results of Hattori on the topology of complements of hyperplane arrangements, ...
AbstractA toric arrangement is a finite set of hypersurfaces in a complex torus, every hypersurface ...
Swartz proved that any matroid can be realized as the intersection lattice of an arrangement of codi...
We assume that there is given a locally finite family of euclidean subspaces in a euclidean space. I...
AbstractThe simplicial complex of acyclic sets of an oriented matroid is studied. The complex is sho...
We introduce the notion of k-hyperclique complexes, i.e., the largest simplicial complexes on the se...
It is known that there exist hyperplane arrangements with the same underlying matroid that admit no...
In this thesis, we study simplicial arrangements of hyperplanes. Classically, a simplicial arrangeme...
A toric arrangement is a finite set of hypersurfaces in a complex torus, every hypersurface being th...
Abstract. We study arrangements of pseudohyperplanes (hyperplanes that are topologically deformed in...
We define a partial ordering on the set $ \mathcal {Q}=\mathcal {Q}(\mathsf {M})$ of pairs of topes...
An arrangement is a collection of subspaces of a topological space. For example, a set of codimensio...
AbstractIn the first section we introduce a certain class of sellular complexes, called metrical- he...
The dissertation is concerned with topological invariants of arrangements of hyperplanes in complex ...
This is a glossary of notions and methods related with the topological theory of collections of affi...
AbstractWe generalize results of Hattori on the topology of complements of hyperplane arrangements, ...
AbstractA toric arrangement is a finite set of hypersurfaces in a complex torus, every hypersurface ...
Swartz proved that any matroid can be realized as the intersection lattice of an arrangement of codi...
We assume that there is given a locally finite family of euclidean subspaces in a euclidean space. I...
AbstractThe simplicial complex of acyclic sets of an oriented matroid is studied. The complex is sho...
We introduce the notion of k-hyperclique complexes, i.e., the largest simplicial complexes on the se...
It is known that there exist hyperplane arrangements with the same underlying matroid that admit no...
In this thesis, we study simplicial arrangements of hyperplanes. Classically, a simplicial arrangeme...