Add to ORKGWe assume that there is given a locally finite family of euclidean subspaces in a euclidean space. In this paper we construct a locally finite regular cell complex which is simple homotopy equivalent to the complement of the union of the subspaces in question. The construction is done by generalizing the one employed by Deligne in the case when every member of the family is a real hyperplane in C$F^n$
A configuration of linearspaces in a projective space is a finite collection of linear subspaces. In...
AbstractIn this paper we study generalizations of the following question: Is a subspace of a project...
We study the homotopy types of the space consisting of all base-point preseving continuous maps from...
We assume that there is given a finite family of protective subspaces in certain projective space. O...
We assume that there is given a finite family of protective subspaces in certain projective space. O...
Abstract. We define and study a class of finite topological spaces, which model the cell structure o...
AbstractWe give an 'oriented matroid generalization' of the following Deligne's theorem [8]:The comp...
The aim of this thesis is to study the complement of a hyperplane arrangement using the techniques o...
Abstract. In this paper, we study k-parabolic arrangements, a generalization of the k-equal arrangem...
AbstractIn this paper, we study k-parabolic arrangements, a generalization of the k-equal arrangemen...
SummaryTwo finite simplicial complexes have the same simple homotopy type if and only if, when they ...
The homotopy type of the complement of a complex coordinate subspace arrangement is studied by utili...
AbstractThe homotopy type of the complement of a complex coordinate subspace arrangement is studied ...
We explore the generalization of cellular decomposition in chromatically localized stable categories...
AbstractA regular polytope P is called locally projective if its minimal sections which are not sphe...
A configuration of linearspaces in a projective space is a finite collection of linear subspaces. In...
AbstractIn this paper we study generalizations of the following question: Is a subspace of a project...
We study the homotopy types of the space consisting of all base-point preseving continuous maps from...
We assume that there is given a finite family of protective subspaces in certain projective space. O...
We assume that there is given a finite family of protective subspaces in certain projective space. O...
Abstract. We define and study a class of finite topological spaces, which model the cell structure o...
AbstractWe give an 'oriented matroid generalization' of the following Deligne's theorem [8]:The comp...
The aim of this thesis is to study the complement of a hyperplane arrangement using the techniques o...
Abstract. In this paper, we study k-parabolic arrangements, a generalization of the k-equal arrangem...
AbstractIn this paper, we study k-parabolic arrangements, a generalization of the k-equal arrangemen...
SummaryTwo finite simplicial complexes have the same simple homotopy type if and only if, when they ...
The homotopy type of the complement of a complex coordinate subspace arrangement is studied by utili...
AbstractThe homotopy type of the complement of a complex coordinate subspace arrangement is studied ...
We explore the generalization of cellular decomposition in chromatically localized stable categories...
AbstractA regular polytope P is called locally projective if its minimal sections which are not sphe...
A configuration of linearspaces in a projective space is a finite collection of linear subspaces. In...
AbstractIn this paper we study generalizations of the following question: Is a subspace of a project...
We study the homotopy types of the space consisting of all base-point preseving continuous maps from...