Transitivity in uniform approach theory.
Trees of manifolds with boundary
We introduce two new classes of compacta, called trees of manifolds with boundary and boundary trees of manifolds with boundary. We establish their basic properties.
Triangle functions and composition of probability distribution functions.
The equations of left and right distributivity of composition of distribution functions over triangle functions are solved in a restricted domain.
Trivial bundles of spaces of probability measures and countable-dimensionality
The probability measure functor P carries open continuous mappings of compact metric spaces into Q-bundles provided Y is countable-dimensional and all fibers are infinite. This answers a question raised by V. Fedorchuk.
True preimages of compact or separable sets for functional analysts
We discuss various results on the existence of ‘true’ preimages under continuous open maps between -spaces, -lattices and some other spaces. The aim of the paper is to provide accessible proofs of this sort of results for functional-analysts.
T-theory.
Two closed categories of filters
Two examples concerning small intrinsic isometries
Two examples of non-separable metrizable spaces
Two examples of reflections
Two extension theorems for functions
Two generic results in fixed point theory
We give two examples of the generic approach to fixed point theory. The first example is concerned with the asymptotic behavior of infinite products of nonexpansive mappings in Banach spaces and the second with the existence and stability of fixed points of continuous mappings in finite-dimensional Euclidean spaces.
Two non-homeomorphic countable spaces having homeomorphic squares
Two problems on doubling measures.
Doubling measures appear in relation to quasiconformal mappings of the unit disk of the complex plane onto itself. Each such map determines a homeomorphism of the unit circle on itself, and the problem arises, which mappings f can occur as boundary mappings?
Two Results on Jachymski-Schröder-Stein Contractions
We establish two fixed point theorems for certain mappings of contractive type.
Two-distance preserving functions.
Two-valued functions, non-archimedean quasi-metrics and ultraquasi-gauges
Tychonoff products of super second countable and super separable metric spaces