Translation of nonstandard definitions to standard ones
Translation properties of finite partitions of the positive integers
Tree-likeness of hereditarily equivalent continua
Trees and monotone structures.
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.
Trennung und Zusammenhang.
Triangle contractive self maps of a Hilbert space
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.
Triangular maps with the chain recurrent points periodic.
Trivial bundles and near-homeomorphisms
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.
Truncated Lie groups and almost Klein models
We consider a real analytic dynamical system G×M→M with nonempty fixed point subset M G. Using symmetries of G×M→M, we give some conditions which imply the existence of transitive Lie transformation group with G as isotropy subgroup.
Truncated symmetric products and configuration spaces.
T-sequential topological spaces
T-stability approach to variational iteration method for solving integral equations.
T-theory.
T-topologies on a lattice ordered group.
In this paper a characterization of the topologies on a l-group arising from a CTRO (T-topologies) is given. We use it to find conditions under which the Redfield topology comes from a CTRO.
Turning Borel sets into clopen sets effectively
We present the effective version of the theorem about turning Borel sets in Polish spaces into clopen sets while preserving the Borel structure of the underlying space. We show that under some conditions the emerging parameters can be chosen in a hyperarithmetical way and using this we obtain some uniformity results.
Two applications of analytic topologies.