Relational structures and dependence spaces
Relations à «éloignement minimum» de relations binaires. Note bibliographique
Relations and topologies
Relations between Shy Sets and Sets of -Measure Zero in Solovay’s Model
An example of a non-zero non-atomic translation-invariant Borel measure on the Banach space is constructed in Solovay’s model. It is established that, for 1 ≤ p < ∞, the condition "-almost every element of has a property P" implies that “almost every” element of (in the sense of [4]) has the property P. It is also shown that the converse is not valid.
Relations between ß X / X and a Certain Subspace of ... X.
Relations d'équivalence co-analytiques
Relations diophantiennes et la solution négative du 10e problème de Hilbert
Relations impartibles [Book]
Relations With I-structure in Categories With Pullbacks
Relative conditional expectations on a logic
In this paper, the authors introduce the notion of conditional expectation of an observable on a logic with respect to a sublogic, in a state , relative to an element of the logic. This conditional expectation is an analogue of the expectation of an integrable function on a probability space.
Relative consistency results via strong compactness
Relative expressiveness of the edge/adjacency language for graph theory
Relative geometries
In this paper, we shall study type-definable groups in a simple theory with respect to one or several stable reducts. While the original motivation came from the analysis of definable groups in structures obtained by Hrushovski's amalgamation method, the notions introduced are in fact more general, and in particular can be applied to certain expansions of algebraically closed fields by operators.
Relative Pseudo-Complements, Join-Extensions, and Meet-Retractions.
Relative sets and rough sets
In this paper, by defining a pair of classical sets as a relative set, an extension of the classical set algebra which is a counterpart of Belnap's four-valued logic is achieved. Every relative set partitions all objects into four distinct regions corresponding to four truth-values of Belnap's logic. Like truth-values of Belnap's logic, relative sets have two orderings; one is an order of inclusion and the other is an order of knowledge or information. By defining a rough set as a pair of definable...
Relatively additive states on quantum logics
In this paper we carry on the investigation of partially additive states on quantum logics (see [2], [5], [7], [8], [11], [12], [15], [18], etc.). We study a variant of weak states — the states which are additive with respect to a given Boolean subalgebra. In the first result we show that there are many quantum logics which do not possess any 2-additive central states (any logic possesses an abundance of 1-additive central state — see [12]). In the second result we construct a finite 3-homogeneous...
Relatively boolean and De Morgan toposes and locales
Relatively constructible transitive models
Relatively pseudocomplemented Hilbert algebras
We characterise those Hilbert algebras that are relatively pseudocomplemented posets.
Relatively recursive expansions
In this paper, we consider the following basic question. Let A be an L-structure and let ψ be an infinitary sentence in the language L∪R, where R is a new relation symbol. When is it the case that for every B ≅ A, there is a relation R such that (B,R) ⊨ ψ and ? We succeed in giving necessary and sufficient conditions in the case where ψ is a “recursive” infinitary sentence. (A recursive infinitary formula is an infinitary formula with recursive disjunctions and conjunctions.) We consider also...