Borel Structures and a Topological Zero-One Law.
Borel subsets of metric separable spaces
Borel-complete topological spaces
Boréliens à coupes
Borsuk's quasi-equivalence is not transitive
Borsuk's quasi-equivalence relation on the class of all compacta is considered. The open problem concerning transitivity of this relation is solved in the negative. Namely, three continua X, Y and Z lying in ℝ³ are constructed such that X is quasi-equivalent to Y and Y is quasi-equivalent to Z, while X is not quasi-equivalent to Z.
Borsuk's Theory of Shape and Cech Homotopy.
Borsuk-Sieklucki theorem in cohomological dimension theory
The Borsuk-Sieklucki theorem says that for every uncountable family of n-dimensional closed subsets of an n-dimensional ANR-compactum, there exist α ≠ β such that . In this paper we show a cohomological version of that theorem: Theorem. Suppose a compactum X is , where n ≥ 1, and G is an Abelian group. Let be an uncountable family of closed subsets of X. If for all α ∈ J, then for some α ≠ β. For G being a countable principal ideal domain the above result was proved by Choi and Kozlowski...
Borsuk-Ulam Sätze und Abbildungen mit kompakten Iterierten [Book]
Borsuk-Ulam type theorems
A generalization of the theorem of Bajmóczy and Bárány which in turn is a common generalization of Borsuk's and Radon's theorem is presented. A related conjecture is formulated.
Boundaries in digital planes.
Boundaries of and Selectors for Upper Semi-Continuous Multi-Valued Maps.
Bounded analytic sets in Banach spaces
Conditions are given which enable or disable a complex space to be mapped biholomorphically onto a bounded closed analytic subset of a Banach space. They involve on the one hand the Radon-Nikodym property and on the other hand the completeness of the Caratheodory metric of .
Bounded linear operators in probabilistic normed space.
Bounded solutions for fuzzy integral equations.
Boundedly Generated Topological Spaces.
Boundedness in topological spaces
Boundedness in uniform spaces and topological groups
Bourbaki's Fixpoint Lemma reconsidered
A constructively valid counterpart to Bourbaki’s Fixpoint Lemma for chain-complete partially ordered sets is presented to obtain a condition for one closure system in a complete lattice to be stable under another closure operator of . This is then used to deal with coproducts and other aspects of frames.
Box products
Box products of Baire spaces