EuDML | Browse

In previous papers, various notions of pre-Hausdorff, Hausdorff and regular objects at a point $p$ in a topological category were introduced and compared. The main objective of this paper is to characterize each of these notions of pre-Hausdorff, Hausdorff and regular objects locally in the category of proximity spaces. Furthermore, the relationships that arise among the various $Pre T_{2}$ , $T_{i}$ , $i = 0, 1, 2, 3$ , structures at a point $p$ are investigated. Finally, we examine the relationships between the generalized separation...

The minimum uniform compactification of a metric space

R. Grant Woods (1995)

Fundamenta Mathematicae

It is shown that associated with each metric space (X,d) there is a compactification $u_{d} X$ of X that can be characterized as the smallest compactification of X to which each bounded uniformly continuous real-valued continuous function with domain X can be extended. Other characterizations of $u_{d} X$ are presented, and a detailed study of the structure of $u_{d} X$ is undertaken. This culminates in a topological characterization of the outgrowth $u_{d} ℝ^{n} ∖ ℝ^{n}$ , where $(ℝ^{n}, d)$ is Euclidean n-space with its usual metric.

The spaces of ordered lo-proximity

R. Dimitrijević (1985)

Matematički Vesnik

Three technical tools in uniform spaces

Frolík, Zdeněk (1975)

Seminar Uniform Spaces

Topological convergence and uniform convergence

Somashekhar Naimpally (1987)

Czechoslovak Mathematical Journal

Totally bounded frame quasi-uniformities

Peter Fletcher, Worthen N. Hunsaker, William F. Lindgren (1993)

Commentationes Mathematicae Universitatis Carolinae

This paper considers totally bounded quasi-uniformities and quasi-proximities for frames and shows that for a given quasi-proximity $◃$ on a frame $L$ there is a totally bounded quasi-uniformity on $L$ that is the coarsest quasi-uniformity, and the only totally bounded quasi-uniformity, that determines $◃$ . The constructions due to B. Banaschewski and A. Pultr of the Cauchy spectrum $ψ L$ and the compactification $ℜ L$ of a uniform frame $(L, 𝐔)$ are meaningful for quasi-uniform frames. If $𝐔$ is a totally bounded quasi-uniformity...

Currently displaying 61 – 80 of 83

Previous Page 4 Next

Displaying 61 – 80 of 83

Sobre el retículo de proximidades de Lodato.

Some applications of non-standard analysis to proximity spaces

Some Point Set Properties of Merotopic Spaces and Their Cohomology Groups.

Some Properties of Proximity and Generalized Uniformity.

Spaces without Large Projective Subspaces.

Structure of the set of compatible proximities when the set is finite

$T_{2}$ and $T_{3}$ objects at $p$ in the category of proximity spaces

The minimum uniform compactification of a metric space

The spaces of ordered lo-proximity

Three technical tools in uniform spaces

Topological convergence and uniform convergence

Totally bounded frame quasi-uniformities

Uniformly, proximally and topologically compact relators.

Verallgemeinerte topogene Ordnungen.

Weil nearness spaces.

$ω_{μ}$ -metric spaces and $ω_{μ}$ -proximities

Детализации

О размерности наростов бикомпактных расширений близостных и топологических пространств

Об $H$ -замкнутых расширениях пространств $θ$ -близости

Продолжение близостных отображений на $T_{1}$ -бикомпактификации

Currently displaying 61 – 80 of 83