AUnif: A common supercategory of pMET and Unif.
Axiom systems for Lipschitz structures
Baire sets and uniformities on complete metric spaces
Binding spaces: A unified completion and extension theory
Booleanization of uniform frames
Booleanization of frames or uniform frames, which is not functorial under the basic choice of morphisms, becomes functorial in the categories with weakly open homomorphisms or weakly open uniform homomorphisms. Then, the construction becomes a reflection. In the uniform case, moreover, it also has a left adjoint. In connection with this, certain dual equivalences concerning uniform spaces and uniform frames arise.
Boundedness in uniform spaces and topological groups
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.