Continuous relations and generalized sets
Continuous Time Probability Logic
Continuous tree-like scales
Answering a question raised by Luis Pereira, we show that a continuous tree-like scale can exist above a supercompact cardinal. We also show that the existence of a continuous tree-like scale at ℵω is consistent with Martin’s Maximum.
Continuum Problem at Measurable Cardinals
Contra -continuity in smooth fuzzy topological spaces
In this paper the concept of fuzzy contra -continuity in the sense of A. P. Sostak (1985) is introduced. Some interesting properties and characterizations are investigated. Also, some applications to fuzzy compact spaces are established.
Contrapunctus of the Continuum Problem and the Measure Problem
Contribuciones al análisis funcional no-standard.
En este trabajo presentamos aportaciones al tratamiento no-standard del Análisis Funcional en dos direcciones. En la sección 2 la envoltura no-standard de un espacio vectorial topológico, introducida por Luxemburg [7] y por Henson y Moore [2] se aplica al caso de un álgebra topológica. En las secciones 3 y 4 se dan caracterizaciones de elementos accesibles (pre-near-standard) y casi-standard (near-standard) en espacios vectoriales topológicos en términos de una familia filtrante densa de subespacios...
Contributions to foundations of probability calculus on the basis of the modal logical calculus or
Contributions to foundations of probability calculus on the basis of the modal logical calculus or
Contributions to foundations of probability calculus on the basis of the modal logical calculus or
Convergence and submeasures in Boolean algebras
A Boolean algebra carries a strictly positive exhaustive submeasure if and only if it has a sequential topology that is uniformly Fréchet.
Convergence on vector spaces with -localisation.
Convergences in Perfect BL-algebras.
Convergent Filter Bases
We are inspired by the work of Henri Cartan [16], Bourbaki [10] (TG. I Filtres) and Claude Wagschal [34]. We define the base of filter, image filter, convergent filter bases, limit filter and the filter base of tails (fr: filtre des sections).
Convergent subsequences of generalized sequences of sets.
Convex Corson compacta and Radon measures
Assuming the continuum hypothesis, we show that (i) there is a compact convex subset L of , and a probability Radon measure on L which has no separable support; (ii) there is a Corson compact space K, and a convex weak*-compact set M of Radon probability measures on K which has no -points.
Convex -fuzzy remote neighborhood operators
In this paper, two kinds of remote neighborhood operators in -fuzzy convex spaces are proposed, which are called convex -fuzzy remote neighborhood operators. It is proved that these two kinds of convex -fuzzy remote neighborhood operators can be used to characterize -fuzzy convex structures. In addition, the lattice structures of two kinds of convex -fuzzy remote neighborhood operators are also given.
Convexity ranks in higher dimensions
A subset of a vector space is called countably convex if it is a countable union of convex sets. Classification of countably convex subsets of topological vector spaces is addressed in this paper. An ordinal-valued rank function ϱ is introduced to measure the complexity of local nonconvexity points in subsets of topological vector spaces. Then ϱ is used to give a necessary and sufficient condition for countable convexity of closed sets. Theorem. Suppose that S is a closed subset of a Polish linear...
Coordinatewise decomposition, Borel cohomology, and invariant measures
Given Polish spaces X and Y and a Borel set S ⊆ X × Y with countable sections, we describe the circumstances under which a Borel function f: S → ℝ is of the form f(x,y) = u(x) + v(y), where u: X → ℝ and v: Y → ℝ are Borel. This turns out to be a special case of the problem of determining whether a real-valued Borel cocycle on a countable Borel equivalence relation is a coboundary. We use several Glimm-Effros style dichotomies to give a solution to this problem in terms of certain σ-finite measures...
Coordinatewise decomposition of group-valued Borel functions
Answering a question of Kłopotowski, Nadkarni, Sarbadhikari, and Srivastava, we characterize the Borel sets S ⊆ X × Y with the property that every Borel function f: S → ℂ is of the form f(x,y) = u(x) + v(y), where u: X → ℂ and v: Y → ℂ are Borel.