Let K be a compact Hausdorff space and C(K) the Banach space of all real-valued continuous functions on K , with the sup-norm. Types over C(K) (in the sense of Krivine and Maurey) can be uniquely represented by pairs ( ,u) of bounded real-valued functions on K , where is lower semicontinuous, u is upper semicontinuous, ≤ u, and (x) = u(x) for all isolated points x of K . A condition that charac...

We generate new AdS4 solutions of D = 11 supergravity starting from AdS4 ×X7 solutions where X7 has U(1) isometry. We consider examples where X7 is weak G2, Sasaki-Einstein or tri-Sasakian, corresponding to d = 3 SCFTs with N = 1, 2 or 3 supersymmetry, respectively, and where the deformed solutions preserve N = 1, 2 or 1 supersymmetry, respectively. For the special cases when X7 is M(3, 2), Q(1...

The notion of locally quasi-convex abelian group, introduce by Vilenkin, is extended to maximally almost-periodic non-necessarily abelian groups. For that purpose, we look at certain bornologies that can be defined on the set rep(G) of all finite dimensional continuous representations on a topological group G in order to associate well behaved group topologies (dual topologies) to them. As a co...

In this paper, we extend some results obtained by A. Amroune and B. Davvaz in [1]. More precisely, we will develop a representation theory of intuitionistic fuzzy perfect distributive lattices in the finite case. To that end, we introduce the notion of intuitionistic fuzzy perfect distributive lattices and the one of fuzzy perfect Priestley spaces. In this way, the results of A. Amroune and B. ...

The concepts expressed by social role terms such as artist and scientist are unique. In a series of experiments, Knobe, Prasada, and Newman (2013) show that these terms allow two independent criteria for categorisation, one of which is inherently normative. This paper presents and tests a novel account of the content of these ‘dual character concepts’. We argue that the normative dimension of d...

We find the minimal energy solution describing a folded closed string located at the center of AdS5 and rotating simultaneously in two planes in S 5 with two arbitrary SO(6) angular momenta J1 and J2. In the case when J1 = J2 = J ′ we observe the precise agreement between the leading coefficient in the large J ′ expansion of the energy of this solution and the minimal eigen-value of the 1-loop ...

It is shown that the Coxeter-Todd lattice is the unique strongly perfect lattice in dimension 12.

Region merging methods consist of improving an initial segmentation by merging some pairs of neighboring regions. In a graph, merging two regions is not straightforward. The perfect fusion graphs defined in a previous paper verify all the properties requested by region merging algorithms. In this paper, we present a theorem which states that, in any dimension, the perfect fusion grids introduce...