Add to ORKGAbstract. We discuss valuations on convex sets of oriented hyperplanes in Rd. For d = 2, we prove an analogue of Hadwiger’s characterization theorem for continuous, rigid motion invariant valuations.
AbstractWe establish some notions of convexity of set-valued maps. This notions are generalization o...
AbstractWe derive q-analogues of some fundamental theorems of convex geometry, including Helly's the...
A restricted-oriented convex set is a set whose intersection with any line from a fixed set of orien...
Valuations are finitely additive functionals on the space of convex bodies. Their study has become a...
To this day, the starting point for many important developments in valuation theory is Hadwiger's re...
Abstract. The notion of even valuation is introduced as a natural gener-alization of volume on compa...
AbstractWe derive q-analogues of some fundamental theorems of convex geometry, including Helly's the...
AbstractA new method of constructing translation invariant continuous valuations on convex subsets o...
Projection and intersection bodies define continuous and GL(n) contravariant valuations. They played...
AbstractProjection and intersection bodies define continuous and GL(n) contravariant valuations. The...
We give a new proof of the Hadwiger theorem on convex functions derived from a characterization of s...
AbstractWe generalize to oriented matroids classical notions of Convexity Theory: faces of convex po...
38 pages; v2: references updated, typos corrected, Remark 1.2 and Section 6.2.1 addedWe define a not...
38 pages; v2: references updated, typos corrected, Remark 1.2 and Section 6.2.1 addedWe define a not...
We live in a three-dimensional world, using three dimensional objects in our daily life; some of the...
AbstractWe establish some notions of convexity of set-valued maps. This notions are generalization o...
AbstractWe derive q-analogues of some fundamental theorems of convex geometry, including Helly's the...
A restricted-oriented convex set is a set whose intersection with any line from a fixed set of orien...
Valuations are finitely additive functionals on the space of convex bodies. Their study has become a...
To this day, the starting point for many important developments in valuation theory is Hadwiger's re...
Abstract. The notion of even valuation is introduced as a natural gener-alization of volume on compa...
AbstractWe derive q-analogues of some fundamental theorems of convex geometry, including Helly's the...
AbstractA new method of constructing translation invariant continuous valuations on convex subsets o...
Projection and intersection bodies define continuous and GL(n) contravariant valuations. They played...
AbstractProjection and intersection bodies define continuous and GL(n) contravariant valuations. The...
We give a new proof of the Hadwiger theorem on convex functions derived from a characterization of s...
AbstractWe generalize to oriented matroids classical notions of Convexity Theory: faces of convex po...
38 pages; v2: references updated, typos corrected, Remark 1.2 and Section 6.2.1 addedWe define a not...
38 pages; v2: references updated, typos corrected, Remark 1.2 and Section 6.2.1 addedWe define a not...
We live in a three-dimensional world, using three dimensional objects in our daily life; some of the...
AbstractWe establish some notions of convexity of set-valued maps. This notions are generalization o...
AbstractWe derive q-analogues of some fundamental theorems of convex geometry, including Helly's the...
A restricted-oriented convex set is a set whose intersection with any line from a fixed set of orien...