Results 31 to 40 of about 82 (79)

A quasitopos containing CONV and MET as full subcategories

International Journal of Mathematics and Mathematical Sciences, Volume 11, Issue 3, Page 417-438, 1988., 1987
We show that convergence spaces with continuous maps and metric spaces with contractions, can be viewed as entities of the same kind. Both can be characterized by a limit function λ which with each filter ℱ associates a map λℱ from the underlying set to the extended positive real line. Continuous maps and contractions can both be characterized as limit
E. Lowen, R. Lowen
wiley   +1 more source

A maximal chain approach to topology and order

International Journal of Mathematics and Mathematical Sciences, Volume 11, Issue 3, Page 465-472, 1988., 1987
On ordered sets (posets, lattices) we regard topologies (or, more general convergence structures) which on any maximal chain of the ordered set induce its own interval topology. This construction generalizes several well‐known intrinsic structures, and still contains enough to produce interesting results on for instance compactness and connectedness ...
R. Vainio
wiley   +1 more source

Convergence structures in M-fuzzifying convex spaces

, 2021
By means of M-fuzzifying convex lters, fuzzy convergence structures in the framework of M-fuzzifying convex spaces are proposed, which are called M- fuzzifying convergence structures. It is shown that there is a Galois correspondence between the category
Pang, Bin
core  

A DECOMPOSITION OF CONTINUITY ON F*– SPACES AND MAPPINGS ON SA*– SPACES

, 2019
: An ideal topological space (X,Ï„,I) is said to be an F* – space if A=Cl*(A) forevery open set A ⊂ X. In this paper, a decomposition of continuity on F* – spaces isintroduced. An ideal topological space (X,Ï„,I) is said to be an SA* – space if (A)*⊂
ACIKGOZ, A.
core   +2 more sources

Ascoli-type theorems in the cone metric space setting

, 2014
We give some necessary and sufficient conditions for (global) continuity of the limit of a pointwise convergent net of cone metric space-valued functions, defined on a Hausdorff topological space, in terms of weak filter exhaustiveness. In this framework,
Boccuto, A., Dimitriou, X.
core   +1 more source

On SI2-convergence in T0-spaces

Open Mathematics
Recently, Shen et al. showed that the SI2-topology on a T0{T}_{0}-space can be described completely in terms of SI2-convergence, and the SI2-convergence is topological whenever the given space is SI2-continuous.
Yang Yi, Xu Xiaoquan
doaj   +1 more source

On I-convergence of nets of functions in fuzzy metric spaces

Open Mathematics
In this paper, we introduce ideal versions of semi-α convergence, semi-exhaustiveness and semi uniform convergence of nets of functions between two fuzzy metric spaces, and obtain some properties of them.
Zhong Lingsheng, Xi Wenfei, Tang Zhongbao   +2 more
doaj   +1 more source

ℐ-sn-metrizable spaces and the images of semi-metric spaces

Open Mathematics
The theory of generalized metric spaces is an active topic in general topology. In this article, we utilize the concepts of ideal convergence and networks to discuss the metrization problem and the mutual classification problem between spaces and ...
Zhou Xiangeng, Liu Fang, Liu Li, Lin Shou   +3 more
doaj   +1 more source

Balanced and closed-generated filters in frames

, 2004
We introduce the notions of balanced filters and closed-generated filters in frames and use them to give a new characterisation of normality for frames, and hence, due to normality being a conservative property, a new characterisation of normality for ...
Dube, Themba
core  

Completion of probabilistic uniform limit spaces

, 2004
In this article completions of special probabilistic semiuniform convergence spaces are considered. It turns out that every probabilitic Cauchy space under a given t-norm T (triangular norm) has a completion which, in the special case of probabilistic ...
Nusser, Harald
core