Linear bilipschitz extension property.
Linear bornologies and associated topologies.
Linear combinations of partitions of unity with restricted supports
Given a locally finite open covering of a normal space X and a Hausdorff topological vector space E, we characterize all continuous functions f: X → E which admit a representation with and a partition of unity subordinate to . As an application, we determine the class of all functions f ∈ C(||) on the underlying space || of a Euclidean complex such that, for each polytope P ∈ , the restriction attains its extrema at vertices of P. Finally, a class of extremal functions on the metric space...
Linear equations in the Stone-Čech compactification of .
Linear openness of multifunctions in metric spaces.
Linear right ideal nearrings.
Linear subspace of Rl without dense totally disconnected subsets
In [1] the author showed that if there is a cardinal κ such that then there exists a completely regular space without dense 0-dimensional subspaces. This was a solution of a problem of Arkhangel’skiĭ. Recently Arkhangel’skiĭ asked the author whether one can generalize this result by constructing a completely regular space without dense totally disconnected subspaces, and whether such a space can have a structure of a linear space. The purpose of this paper is to show that indeed such a space can...
Linear topological classifications of certain function spaces. II.
Linearization of mappings
Linearly rigid metric spaces and the embedding problem
We consider the problem of isometric embedding of metric spaces into Banach spaces, and introduce and study the remarkable class of so-called linearly rigid metric spaces: these are the spaces that admit a unique, up to isometry, linearly dense isometric embedding into a Banach space. The first nontrivial example of such a space was given by R. Holmes; he proved that the universal Urysohn space has this property. We give a criterion of linear rigidity of a metric space, which allows us to give a...
Linearly Singly Bi-k-spaces
Linear-topological properties of operator spaces
Linking contractive self-mappings and cyclic Meir-Keeler contractions with Kannan self-mappings.
Linking the closure and orthogonality properties of perfect morphisms in a category
We define perfect morphisms to be those which are the pullback of their image under a given endofunctor. The interplay of these morphisms with other generalisations of perfect maps is investigated. In particular, closure operator theory is used to link closure and orthogonality properties of such morphisms. A number of detailed examples are given.
Lipschitz continuous selectors. I: Linear selectors.
Lipschitz extensions and Lipschitz retractions in metric spaces
Lipschitz functions with unexpectedly large sets of nondifferentiability points.
Lipschitz pairs of metric subspaces
List of communications
List of communications