Discrete Mathematics 154, 217–236 (1996)Pfaltz JL (1996) Closure lattices. Discrete Math 154:217–236Pfaltz, J.L.: Closure lattices. Discrete Math. 154 , 217–236 (1996) MathSciNetPfaltz, J.L. (1996) Closure
Discrete Mathematics and Theoretical Computer Science4,2000,061–066 Improved inclusion-exclusion identities via closure operators Klaus Dohmen Department of Computer Science,Humboldt-University Berlin,Unter den Linden6,D-10099Berlin,Germany E-mail:dohmen@informatik.hu-berlin.de received March24,1999,revised...
Finite closure spaces with the Steinitz exchange property are characterized and the connection between the Steinitz and the MacLane exchange property and related exchange properties is discussed. A Kurosh-Ore theorem is proved for subadditive closure spaces with the Steinitz...
In particular, there exist A = {i0, . . . , ik} and B = { j0, . . . , jl }, with m = k + l < n, such that the closure of V ∩ WA,B contains 0, and the couple (A, B) is maximal with this property. Changing, if necessary, the signs of fi , we can suppose ...
Verify the torsion property: > A≔OreTools:-SetOreRingx,q,qshift: > L≔OreTools:-Converters:-FromPolyToOrePolyL,Qx L≔OrePolyq2x−32q3x−3,x−3qx−3 (7) > R2≔OreTools:-Converters:-FromPolyToOrePoly...
base property if none of its closed sets has more than one base. Closure operators having the unique base property may be viewed as natural generalizations of the convex hull operator. Thus, there is a strong connection between our work and that of Edelman and ...
(12) Because S is compact (see the beginning of this section) the above property guarantees that gph Q := {(s, z) : s ∈ S, z ∈ Q(s)} is a compact subset of S × RN (13) 123 56 E. J. Balder by a result of Berge; see Lemma 17.3 in Aliprantis and Border (2006) ...
In this paper, we generalize to sub-Riemannian Carnot groups some classical results in the theory of minimal submanifolds. Our main results are for step 2 Carnot groups. In this case, we will prove the convex hull property and some “exclosure theorems”
In this case, we will prove the convex hull property and some "exclosure theorems" for H-minimal hypersurfaces of class C satisfying a Hörmander-type condition. Keywords: Carnot groups; Sub-Riemannian geometry; H-minimal hypersurfaces; convex hull property; ex- closure theorems MSC: 49Q15, ...
We study neighborhoods with respect to a categorical closure operator. In particular, we discuss separation and compactness obtained from neighborhoods in a natural way and compare them with the usual closure separation and closure compactness. We also i