Add to ORKGThe simplicial complex K ( A ) is defined to be the collection of simplices, and their proper subsimplices, representing maximal lattice free bodies of the form { x : Ax \u3c b }, with A a fixed ( n + 1) × n matrix. The topological space associated with K ( A ) is shown to be homeomorphic to R n , and the space obtained by identifying lattice translates of these simplices is homeomorphic to the n -torus
AbstractIt is shown that for a countable simplicial complex K, the following are equivalent: 1.(i) K...
Thesis (Ph.D.), Department of Mathematics, Washington State UniversityThis dissertation examines top...
International audienceSimplicial sets and cubical sets are combinatorial structures which have been ...
The simplicial complex K ( A ) is defined to be the collection of simplices, and their proper subsimp...
Given a generic m x n matrix A , the simplicial complex K ( A ) is defined to be the collection of si...
The complex of maximal lattice free bodies associated with a well behaved matrix A of size (n + 1) ...
Given a generic m x n matrix A, the simplicial complex/C(A) is defined to be the collection of simpl...
We construct d-dimensional empty lattice simplices of arbitrarily high volume from (d-1)-dimensional...
SCOPE AND CON'l'ENTS: This thesis deals v1ith the lattice of all topologies which may be p...
Let A be a (d + 1) \Theta d real matrix whose row vectors positively span R d and which is generic...
Simplicial complexes are discrete objects that are used to approximate familiar geometric spaces. Th...
In this paper I discuss various properties of the simplicial complex of maximal lattice free bodies ...
AbstractWith each bounded lattice L is associated a simplicial complex KL. If X is a cross-cut of L,...
If L is a finite lattice, we show that there is a natural topological lattice structure on the geome...
We introduce the notion of k-hyperclique complexes, i.e., the largest simplicial complexes on the se...
AbstractIt is shown that for a countable simplicial complex K, the following are equivalent: 1.(i) K...
Thesis (Ph.D.), Department of Mathematics, Washington State UniversityThis dissertation examines top...
International audienceSimplicial sets and cubical sets are combinatorial structures which have been ...
The simplicial complex K ( A ) is defined to be the collection of simplices, and their proper subsimp...
Given a generic m x n matrix A , the simplicial complex K ( A ) is defined to be the collection of si...
The complex of maximal lattice free bodies associated with a well behaved matrix A of size (n + 1) ...
Given a generic m x n matrix A, the simplicial complex/C(A) is defined to be the collection of simpl...
We construct d-dimensional empty lattice simplices of arbitrarily high volume from (d-1)-dimensional...
SCOPE AND CON'l'ENTS: This thesis deals v1ith the lattice of all topologies which may be p...
Let A be a (d + 1) \Theta d real matrix whose row vectors positively span R d and which is generic...
Simplicial complexes are discrete objects that are used to approximate familiar geometric spaces. Th...
In this paper I discuss various properties of the simplicial complex of maximal lattice free bodies ...
AbstractWith each bounded lattice L is associated a simplicial complex KL. If X is a cross-cut of L,...
If L is a finite lattice, we show that there is a natural topological lattice structure on the geome...
We introduce the notion of k-hyperclique complexes, i.e., the largest simplicial complexes on the se...
AbstractIt is shown that for a countable simplicial complex K, the following are equivalent: 1.(i) K...
Thesis (Ph.D.), Department of Mathematics, Washington State UniversityThis dissertation examines top...
International audienceSimplicial sets and cubical sets are combinatorial structures which have been ...