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Gli spazi $\omega_{\mu}$ -metrici uniformemente numerabilmente paracompatti sono uniformemente paracompatti. Si fornisce altresì una caratterizzazione degli spazi $\omega_{\mu}$ -metrici fini.

On uniform spaces

Zdeněk Frolík (1975)

Commentationes Mathematicae Universitatis Carolinae

On Uniform Spaces where All Uniformly Continuous Functions are Bounded.

Olav Njastad (1965)

Monatshefte für Mathematik

On uniform spaces with linearly ordered bases II ( $ω_{μ}$ -metric spaces)

P. Nyikos, H. Reichel (1976)

Fundamenta Mathematicae

On uniformly locally compact quasi-uniform hyperspaces

Hans-Peter A. Künzi, Salvador Romaguera, M. A. Sánchez-Granero (2004)

Czechoslovak Mathematical Journal

We characterize those Tychonoff quasi-uniform spaces $(X, 𝒰)$ for which the Hausdorff-Bourbaki quasi-uniformity is uniformly locally compact on the family $𝒦_{0} (X)$ of nonempty compact subsets of $X$ . We deduce, among other results, that the Hausdorff-Bourbaki quasi-uniformity of the locally finite quasi-uniformity of a Tychonoff space $X$ is uniformly locally compact on $𝒦_{0} (X)$ if and only if $X$ 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

A. Sapounakis (1984)

Compositio Mathematica

On unitary Cauchy filters on topological monoids

Boris G. Averbukh (2013)

Topological Algebra and its Applications

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

Boris G. Averbukh (2016)

Topological Algebra and its Applications

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.

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On uniform connectedness.

On uniform connection properties

On uniform paracompactness

On uniform paracompactness of the $\omega_{\mu}$ -metric spaces

On uniform spaces

On Uniform Spaces where All Uniformly Continuous Functions are Bounded.

On uniform spaces with linearly ordered bases II ( $ω_{μ}$ -metric spaces)

On uniformly locally compact quasi-uniform hyperspaces

On uniformly regular measures

On unitary Cauchy filters on topological monoids

On unitary extensions and unitary completions of topological monoids

On $σ$ -discreteness in uniform spaces

On $Φ$ -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.

Currently displaying 61 – 78 of 78