Open problems and recent results on causal completeness of probabilistic theories – p. 1/2 Structure Informal motivation of the problem of causal closedness: Reichenbach's Common Cause Principle Causal closedness of classical probability spaces (notion + propositions) Causal closedness – quantum probability spaces (notion + proposition) Spacelike correlations predicted by quantum field theory L...

This paper investigates dynamic semantics of conversations from the point of view of semantical closedness, presuppositions and shared belief/common knowledge updates, by analyzing the meta-expression “what do you mean (by X)?” into three major usages: semantic repair initiation, intentional repair initiation, and inferential repair initiation, since these three usages are deeply related with t...

Compactness and closedness are some of the important properties for studying topological spaces. Several types of these concepts (semi-compactness, pre-compactness, β-compactness,. . ., S-closedness, H-closedness, etc) occur in the literature. In this paper, we applied concept of φ operation which defined by Csaszar [8] to unify and generalized several characterizations and properties of lots o...

The purpose of this paper is to introduce the concept of pairwise F-closedness in bitopological spaces. This space contains both of pairwise strongcompactness and pairwise S-closedness and contained in pairwise quasi H-closedness. The characteristics and relationships concerning this new class of spaces with other corresponding types are established. Moreover, several of its basic and important...

This paper investigates relations between team learning and a quasi-closedness property inherent in many identiication types considered in inductive inference. This property is as follows: there exists such n that, if every union of n ?1 classes out of U1; : : : ; Un is identiiable, so is the union of all n classes. This property can be formulated in terms of team learning, but in practice the ...

the purpose of this paper is to introduce the concept of pairwise f-closedness in bitopological spaces. this space contains both of pairwise strongcompactness and pairwise s-closedness and contained in pairwise quasi h-closedness. the characteristics and relationships concerning this new class ofspaces with other corresponding types are established. moreover, several ofits basic and important p...

Let C be a full-dimensional pointed closed convex cone in R obtained by taking the conic hull of a strictly convex set. Given A ∈ Qm×n1 , B ∈ Qm×n2 and b ∈ Q, a simple conic mixed-integer set (SCMIS) is a set of the form {(x, y) ∈ Z1 ×R2 | Ax+By− b ∈ C}. In this paper, we give a complete characterization of the closedness of convex hulls of SCMISs. Under certain technical conditions on the cone...

In this paper we reconsider the question of when the continuous linear image of a closed convex cone is closed in Euclidean space. In particular, we show that although it is not true that the closedness of the image is preserved under small perturbations of the linear mappings it is “almost” true that the closedness of the image is preserved under small perturbations, in the sense that, for “al...

The closedness type regularity conditions have proven during the last decade to be viable alternatives to their more restrictive interiority type counterparts, in both convex optimization and different areas where it was successfully applied. In this review article we deand reconstruct some closedness type regularity conditions formulated by means of epigraphs and subdifferentials, respectively...

Mourgues and Ressayre [10] showed that any real closed field is isomorphic to a truncation closed subfield of a Hahn field over R. The papers [5, 6, 7, 4] continue the study of truncation closedness. The results are typically that truncation closedness is robust in the sense of being preserved under a variety of extensions. One significance of truncation closedness is that it enables transfinit...