Results 31 to 40 of about 117 (96)

A note on pseudobounded paratopological groups

open access: yesTopological Algebra and its Applications, 2014
Let G be a paratopological group. Then G is said to be pseudobounded (resp. ω-pseudobounded) if forevery neighbourhood V of the identity e in G, there exists a natural number n such that G = Vn (resp.we have G = ∪ n∈N Vn).
Lin Fucai, Lin Shou, Sánchez Iván
doaj   +1 more source

On soft p c-separation axioms

open access: yesDemonstratio Mathematica, 2020
Many mathematicians defined and studied soft separation axioms and soft continuity in soft spaces by using ordinary points of a topological space X. Also, some of them studied the same concepts by using soft points.
Hamko Qumri H.   +2 more
doaj   +1 more source

Regularity and normality in hereditary bi m-spaces

open access: yesDemonstratio Mathematica, 2022
Quite recently, a new minimal structure mH⋆{m}_{H}^{\star } and an mnmn-ℋg{{\mathcal{ {\mathcal H} }}}_{g}-closed set have been introduced in a previous study [T. Noiri and V.
Al-Omari Ahmad   +2 more
doaj   +1 more source

More properties of generalized open sets in generalized topological spaces

open access: yesDemonstratio Mathematica, 2022
Sarsak [M. S. Sarsak, On some properties of generalized open sets in generalized topological spaces, Demonstr. Math. 46 (2013), no. 2, 415–427] studied some properties of generalized open sets in generalized topological spaces (GTSs); the primary purpose
Sarsak Mohammad S.
doaj   +1 more source

Connectivity with respect to α-discrete closure operators

open access: yesOpen Mathematics, 2022
We discuss certain closure operators that generalize the Alexandroff topologies. Such a closure operator is defined for every ordinal α>0\alpha \gt 0 in such a way that the closure of a set AA is given by closures of certain α\alpha -indexed sequences ...
Šlapal Josef
doaj   +1 more source

A study on attribute reduction by bayesian decision theoretic rough set models [PDF]

open access: yes, 2020
. Bayesian Decision theoretic rough set AMS Classification: 54A05, 54H99 Keywords: Bayesian decision theoretic rough set model, Decision theoretic rough set, Bayesian rough set, Bayesian rough set based on ...
Kalyani Debnath   +1 more
core  

Properties of some ∗‐dense‐in‐itself subsets

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 72, Page 3989-3999, 2004., 2004
ℐ‐open sets were introduced and studied by Janković and Hamlett (1990) to generalize the well‐known Banach category theorem. Quasi‐ℐ‐openness was introduced and studied by Abd El‐Monsef et al. (2000). These are ∗‐dense‐in‐itself sets of the ideal spaces. In this note, properties of these sets are further investigated and characterizations of these sets
V. Renuka Devi   +2 more
wiley   +1 more source

The points and diameters of quantales

open access: yesOpen Mathematics, 2018
In this paper, we investigate some properties of points on quantales. It is proved that the two sided prime elements are in one to one correspondence with points.
Liang Shaohui
doaj   +1 more source

New soft separation axioms and fixed soft points with respect to total belong and total non-belong relations

open access: yesDemonstratio Mathematica, 2021
In this article, we exploit the relations of total belong and total non-belong to introduce new soft separation axioms with respect to ordinary points, namely tttt-soft pre Ti(i=0,1,2,3,4){T}_{i}\hspace{0.33em}\left(i=0,1,2,3,4) and tttt-soft pre-regular
Al-shami Tareq M.   +2 more
doaj   +1 more source

Local compactness in approach spaces II

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 2, Page 109-117, 2003., 2003
This paper studies the stability properties of the concepts of local compactness introduced by the authors in 1998. We show that all of these concepts are stable for contractive, expansive images and for products.
R. Lowen, C. Verbeeck
wiley   +1 more source

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