We construct motivic versions of the classical tubular neighborhood and the punctured tubular neighborhood, and give applications to the construction of tangential base-points for mixed Tate motives, algebraic gluing of curves with boundary components , and limit motives.

Neighborhood-perfect graphs form a subclass of the perfect graphs if the Strong Perfect Graph Conjecture of C. Berge is true. However, they are still not shown to be perfect. Here we propose the characterization of neighborhood-perfect graphs by studying minimal non-neighborhood-perfect graphs (MNNPG). After presenting some properties of MNNPGs, w e show that the only MNNPGs with neighborhood i...

The classical theorems of Riesz [l] on compact operators have been extended by Leray [2] and Williamson [3] to the context of topological linear spaces. Ringrose [4] has shown that if an operator on such a space is compact, the square of its adjoint is also compact, where the topology on the dual space is that of uniform convergence on bounded sets. Thus if an operator is continuous and some po...

BACKGROUND Strong evidence supports that living in disadvantaged neighborhoods has direct unfavorable impact on mental and physical health. However, whether it also has direct impact on cellular health is largely unknown. Thus we examined whether neighborhood quality was associated with leukocyte telomere length, an indicator of cellular aging. METHODS In May 2014, we extracted and analyzed b...

This paper aims to determine the prevalence of use online neighborhood networks (ONNs) and explores which socio-demographic, socioeconomic status (SES), social integration, media determinants predict ONN membership uses. Drawing on a stratified random sample (Ghent, Belgium), we found that over third population are members was mainly predicted by socio-demographic characteristics. Also, in cont...

The underlying idea of the ESOM [2] is to incorporate the topological neighborhood preserving property of Self-Organizing Map (SOM) and the convex-hull property (a global optimality) of TSP together. The learning rule of its generalized version is as follows: ! w j(t+ 1) = cj(t) [ ! w j(t) + j(t) ( ! x t !w j(t))] where !w j is the weight of jth neuron, !x t the input city coordinate, cj(t) the...

Consider 1D Vlasov-poisson system with a …xed ion background and periodic condition on the space variable. First, we show that for general homogeneous equilibria, within any small neighborhood in the Sobolev space W s;p p > 1; s < 1 + 1 p of the steady distribution function, there exist nontrivial travelling wave solutions (BGK waves) with arbitrary minimal period and traveling speed. This impl...

Following an idea close to one given by C. G. Torre (private communication), we prove that Riemannian spaces (M,g) and (M,h) that are related by a Gürses type (b) transformation [M. Gürses, Phys. Rev. Lett. 70, 367 (1993)] or, equivalently, by a Torre-Anderson generalized diffeomorphism [C. G. Torre and I. M. Anderson, Phys. Rev. Lett. xx, xxx (1993)] are neighborhood-isometric, i.e., every poi...

A set $Wsubset V (G)$ is called a resolving set, if for every two distinct vertices $u, v in V (G)$ there exists $win W$ such that $d(u,w) not = d(v,w)$, where $d(x, y)$ is the distance between the vertices $x$ and $y$. A resolving set for $G$ with minimum cardinality is called a metric basis. A graph with a unique metric basis is called a uniquely dimensional graph. In this paper, we establish...