Abstract. We introduce the non-pure versions of simplicial balls and spheres with minimum number of vertices. These are a special type of non-homogeneous balls and spheres (NH-balls and NH-spheres) satisfying a minimality condition on the number of maximal simplices. The main result is that minimal NH-balls and NH-spheres are precisely the simplicial complexes whose iterated Alexander duals converge respectively to a simplex or the boundary of a simplex. 1
We prove a generalization of a result of Dong and Santos– Sturmfels about the homotopy type of the A...
We show that the existence of pseudosimplicial nonshellable n-spheres, n ⩾ 3, is a direct conse-quen...
AbstractThere are, in general, 2n spheres tangent to all n + 1 faces of an n-simplex. If n is odd an...
We introduce the non-pure versions of simplicial balls and spheres with minimum number of vertices. ...
We investigate the homotopy type of the Alexander dual of a simplicial complex. It is known that in ...
Abstract. We prove a generalization of a result by Dong and Santos-Sturmfels about the homotopy type...
We construct nonconstructible simplicial d-spheres with d + 10 vertices and nonconstructible, nonrea...
AbstractAn n-dimensional (convex) polytope is said to have few vertices if their number does not exc...
Abstract. We compare minimal combinatorial models of homotopy types: arbitrary simplicial complexes,...
AbstractAs shown by D. Barnette (1973, J. Combin. Theory Ser. A14, 37–53) there are precisely 39 sim...
Abstract. Let Γ be a simplicial complex with n vertices, and let ∆(Γ) be either its exterior algebra...
We introduce a new notion of tame geometry for structures admitting an abstract notion of balls. The...
We compare minimal combinatorial models of homotopy types: arbitrary simplicial complexes, flag comp...
In this paper, we treat the decision problem of constructibility. This problem was solved only under...
AbstractIn 1992, Thomas Bier introduced a surprisingly simple way to construct a large number of sim...
We prove a generalization of a result of Dong and Santos– Sturmfels about the homotopy type of the A...
We show that the existence of pseudosimplicial nonshellable n-spheres, n ⩾ 3, is a direct conse-quen...
AbstractThere are, in general, 2n spheres tangent to all n + 1 faces of an n-simplex. If n is odd an...
We introduce the non-pure versions of simplicial balls and spheres with minimum number of vertices. ...
We investigate the homotopy type of the Alexander dual of a simplicial complex. It is known that in ...
Abstract. We prove a generalization of a result by Dong and Santos-Sturmfels about the homotopy type...
We construct nonconstructible simplicial d-spheres with d + 10 vertices and nonconstructible, nonrea...
AbstractAn n-dimensional (convex) polytope is said to have few vertices if their number does not exc...
Abstract. We compare minimal combinatorial models of homotopy types: arbitrary simplicial complexes,...
AbstractAs shown by D. Barnette (1973, J. Combin. Theory Ser. A14, 37–53) there are precisely 39 sim...
Abstract. Let Γ be a simplicial complex with n vertices, and let ∆(Γ) be either its exterior algebra...
We introduce a new notion of tame geometry for structures admitting an abstract notion of balls. The...
We compare minimal combinatorial models of homotopy types: arbitrary simplicial complexes, flag comp...
In this paper, we treat the decision problem of constructibility. This problem was solved only under...
AbstractIn 1992, Thomas Bier introduced a surprisingly simple way to construct a large number of sim...
We prove a generalization of a result of Dong and Santos– Sturmfels about the homotopy type of the A...
We show that the existence of pseudosimplicial nonshellable n-spheres, n ⩾ 3, is a direct conse-quen...
AbstractThere are, in general, 2n spheres tangent to all n + 1 faces of an n-simplex. If n is odd an...
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