Canonical partition relations and point character of -spaces
Cardinal invariants of bitopological spaces
Cardinal reflections and point-character of uniformities – counterexamples
Cartesian closed hull of uniform spaces
Cartesian-closed coreflective subcategories of uniform spaces
Categorial refinements and their relation to reflective subcategories
Categorical aspects of the classical Ascoli theorems
Cauchy nets and open colorings.
Cauchy Spaces. I. Structure and Uniformization Theorems.
Cauchy Spaces. II. Regular Completions and Compactifications.
Chapman's category isomorphism for arbitrary ARs
Characterizations of absolute -sets
Characterizations of uniformity-dependent dimension functions
C(K) spaces which cannot be uniformly embedded into c₀(Γ)
We give two examples of scattered compact spaces K such that C(K) is not uniformly homeomorphic to any subset of c₀(Γ) for any set Γ. The first one is [0,ω₁] and hence it has the smallest possible cardinality, the other one has the smallest possible height ω₀ + 1.
Coarse structures and group actions
The main results of the paper are: Proposition 0.1. A group G acting coarsely on a coarse space (X,𝓒) induces a coarse equivalence g ↦ g·x₀ from G to X for any x₀ ∈ X. Theorem 0.2. Two coarse structures 𝓒₁ and 𝓒₂ on the same set X are equivalent if the following conditions are satisfied: (1) Bounded sets in 𝓒₁ are identical with bounded sets in 𝓒₂. (2) There is a coarse action ϕ₁ of a group G₁ on (X,𝓒₁) and a coarse action ϕ₂ of a...
Collectionwise normality and absolute retracts
Common fixed point theorems for E-contractive or E-expansive maps in uniform spaces.
Common fixed points and convergence theorems in uniform spaces
Commuting mappings, fixed points and Ciric contraction in uniform spaces.
Compactness and other questions in spaces of uniform measures