Results 31 to 40 of about 48 (48)

Precompactness And Compactness In The Natural Function Spaces Of The Category Of Semiuniform Convergence Spaces

open access: yes, 1997
. Semiuniform convergence spaces form a common generalization of (symmetric) limit spaces (and thus of symmetric topological spaces) as well as of uniform limit spaces (and thus of uniform spaces) with many convenient properties such as cartesian ...
Gerhard Preu, Gerhard Preuß
core  

A Lattice-Theoretic approach to arbitrary real functions on frames

open access: yes, 2018
In this paper we model discontinuous extended real functions in pointfree topology following a lattice-theoretic approach, in such a way that, if L is a subfit frame, arbitrary extended real functions on L are the elements of the Dedekind- MacNeille ...
Carollo, Imanol Mozo
core  

Completion Of Semiuniform Convergence Spaces

open access: yes, 1997
. Semiuniform convergence spaces form a common generalization of filter spaces (including symmetric convergence spaces [and thus symmetric topological spaces] as well as Cauchy spaces) and uniform limit spaces (including uniform spaces) with many ...
Gerhard Preuß
core  

The approximation of compacta by finite T0-spaces

open access: yes, 2004
It has long been known that compact Hausdorff spaces can be approximated using finite T0-spaces, and that many can be represented as inverse limits of polyhedra. Here we study the relationship between these two types of representation.
Tkachuk, Vladimir V   +2 more
core  

A Boolean extension of a frame and a representation of discontinuity

open access: yes, 2018
Point-free modeling of mappings that are not necessarily continuous has been so far based on the extension of a frame to its frame of sublocales, mimicking the replacement of a topological space by its discretization.
Picado, Jorge, Pultr, Ales
core  

The Dual space of an asymmetric normed linear space

open access: yes, 2004
Given an asymmetric normed linear space (X, q), we construct and study its dual space (X*, q*). In particular, we show that (x*, q*) is a biBanach semilinear space and prove that (X, q) can be identified as a subspace of its bidual by an isometric ...
Sanchez-Perez, E.A.   +2 more
core  

Almost 2-Fully Normal, Pairwise Paracompact and Complete Developable Bispaces

open access: yes, 2004
We introduce and study the notion of an almost 2-fully normal bispace. In particular; we prove that a bispace is quasi-pseudometrizable if and only if it is almost 2-fully normal and pairwise developable.
Romaguera, Salvador
core  
Some of the next articles are maybe not open access.

Locally quasi-uniform spaces with countable bases

Duke Mathematical Journal, 1974
exaly  

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