On uniform connectedness.
On uniform connection properties
On uniform paracompactness
On uniform paracompactness of the -metric spaces
Gli spazi -metrici uniformemente numerabilmente paracompatti sono uniformemente paracompatti. Si fornisce altresì una caratterizzazione degli spazi -metrici fini.
On uniform spaces
On Uniform Spaces where All Uniformly Continuous Functions are Bounded.
On uniform spaces with linearly ordered bases II (-metric spaces)
On uniformly locally compact quasi-uniform hyperspaces
We characterize those Tychonoff quasi-uniform spaces for which the Hausdorff-Bourbaki quasi-uniformity is uniformly locally compact on the family of nonempty compact subsets of . We deduce, among other results, that the Hausdorff-Bourbaki quasi-uniformity of the locally finite quasi-uniformity of a Tychonoff space is uniformly locally compact on if and only if is paracompact and locally compact. We also introduce the notion of a co-uniformly locally compact quasi-uniform space and show...
On uniformly regular measures
On unitary Cauchy filters on topological monoids
For Hausdorff topological monoids, the concept of a unitary Cauchy net is a generalization of the concept of a fundamental sequence of reals. We consider properties and applications of such nets and of corresponding filters and prove, in particular, that the underlying set of a given monoid, endowed with the family of such filters, forms a Cauchy space whose convergence structure defines a uniform topology. A commutative monoid endowed with the corresponding uniformity is uniform. A distant purpose...
On unitary extensions and unitary completions of topological monoids
The concept of a unitary Cauchy net in an arbitrary Hausdorff topological monoid generalizes the concept of a fundamental sequence of reals. We construct extensions of this monoid where all its unitary Cauchy nets converge.
On -discreteness in uniform spaces
On -fixed point for maps on uniform spaces.
One folkloristic lemma on cardinal reflections in Unif
Open images of orderable spaces
Order compatibility for Cauchy spaces and convergence spaces.
Ordered Cauchy spaces.
Ordinary and directed combinatorial homotopy, applied to image analysis and concurrency.