DOIAbstract
There is a dual pair of cellular decompositions of the 3-sphere both realizable as geometric complexes in Euclidean 4-space but neither isomorphic to the boundary complex of a convex 4-polytope
There is a dual pair of cellular decompositions of the 3-sphere both realizable as geometric complexes in Euclidean 4-space but neither isomorphic to the boundary complex of a convex 4-polytope
In 1988, Kalai [5] extended a construction of Billera and Lee to produce many triangulated(d−1)-sphe...
none3We construct an explicit equivariant cellular decomposition of the (4n-1)-sphere with respect t...
AbstractWe prove the following theorem: A polyhedral embedding of a 2-dimensional cell complex in S3...
AbstractA triangulated 3-sphere is said to be polyhedral provided it is isomorphic to the boundary o...
AbstractAs shown by D. Barnette (1973, J. Combin. Theory Ser. A14, 37–53) there are precisely 39 sim...
AbstractAn example of a cellular mapping between polyhedra P and Q with the property that, for all n...
AbstractGiven a convex n-gon P in R2 with vertices in general position, it is well known that the si...
AbstractNon-tiles are convex polytopes, of which isomorphic copies will not tile the space locally f...
AbstractAn n-dimensional (convex) polytope is said to have few vertices if their number does not exc...
We construct, for every dimension d ≥ 3, polytopal spheres S for which neither S nor its dual S ∗ co...
A simple cell complex C in Euclidean d-space Ed is a covering of Ed by finitely many convex j-dimens...
The class of simplicial complexes representing triangulations and subdivisions of Lawrence ...
AbstractWe construct a new 2-parameter family Emn, m,n⩾3, of self-dual 2-simple and 2-simplicial 4-p...
AbstractAn affine projection π:Pp→Qq of convex polytopes induces an inclusion map of the face posets...
AbstractWe construct a pair of finite piecewise Euclidean 2-complexes with nonpositive curvature whi...
In 1988, Kalai [5] extended a construction of Billera and Lee to produce many triangulated(d−1)-sphe...
none3We construct an explicit equivariant cellular decomposition of the (4n-1)-sphere with respect t...
AbstractWe prove the following theorem: A polyhedral embedding of a 2-dimensional cell complex in S3...
AbstractA triangulated 3-sphere is said to be polyhedral provided it is isomorphic to the boundary o...
AbstractAs shown by D. Barnette (1973, J. Combin. Theory Ser. A14, 37–53) there are precisely 39 sim...
AbstractAn example of a cellular mapping between polyhedra P and Q with the property that, for all n...
AbstractGiven a convex n-gon P in R2 with vertices in general position, it is well known that the si...
AbstractNon-tiles are convex polytopes, of which isomorphic copies will not tile the space locally f...
AbstractAn n-dimensional (convex) polytope is said to have few vertices if their number does not exc...
We construct, for every dimension d ≥ 3, polytopal spheres S for which neither S nor its dual S ∗ co...
A simple cell complex C in Euclidean d-space Ed is a covering of Ed by finitely many convex j-dimens...
The class of simplicial complexes representing triangulations and subdivisions of Lawrence ...
AbstractWe construct a new 2-parameter family Emn, m,n⩾3, of self-dual 2-simple and 2-simplicial 4-p...
AbstractAn affine projection π:Pp→Qq of convex polytopes induces an inclusion map of the face posets...
AbstractWe construct a pair of finite piecewise Euclidean 2-complexes with nonpositive curvature whi...
In 1988, Kalai [5] extended a construction of Billera and Lee to produce many triangulated(d−1)-sphe...
none3We construct an explicit equivariant cellular decomposition of the (4n-1)-sphere with respect t...
AbstractWe prove the following theorem: A polyhedral embedding of a 2-dimensional cell complex in S3...
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