Results 21 to 30 of about 23,272 (312)

An Approach to Change the Topology of a Topological Space [PDF]

Sahand Communications in Mathematical Analysis, 2022
In this paper, we are going to introduce an approach to convert the topology of a topological space to another topology (in fact, a coarser topology).  For this purpose,  we consider  a topological space $(X, \tau)$ with a closed point $p$ of its points.
Amin Talabeigi, Maryam Talabeigi
doaj   +1 more source

Internal Neighbourhood Structures II: Closure and closed morphisms [PDF]

Categories and General Algebraic Structures with Applications, 2023
Internal preneighbourhood spaces inside any finitely complete category with finite coproducts and proper factorisation structure were first introduced in \cite{2020}.
Partha Pratim Ghosh
doaj   +1 more source

Implicative Closure Operators [PDF]

International Journal of Fuzzy Logic and Intelligent Systems, 2008
In this paper, we investigate the properties of implicative closure operators on the stsc-quantale L. We find implicative closure operators induced by a function.
Yong-Chan Kim, Jung-Mi Ko
openaire   +1 more source

P*-closure operator and p*-regularity in fuzzy setting [PDF]

Mathematica Moravica, 2015
In this paper a new type of fuzzy regularity, viz. fuzzy p*- regularity has been introduced and studied by a newly defined closure operator, viz., fuzzy p*-closure operator.
Bhattacharyya Anjana
doaj  

Another closure operator on preneighbourhood spaces [PDF]

Categories and General Algebraic Structures with Applications
The notions of dense, proper, separated or perfect morphisms and hence of compact, Hausdorff or compact Hausdorff are all consequent to good properties of a family of closed morphisms is well known in literature.
Partha Ghosh
doaj   +1 more source

Efficient Algorithms on the Family Associated to an Implicational System [PDF]

Discrete Mathematics & Theoretical Computer Science, 2004
An implication system (IS) on a finite set S is a set of rules called Σ -implications of the kind A →_Σ B, with A,B ⊆ S. A subset X ⊆ S satisfies A →_Σ B when ''A ⊆ X implies B ⊆ X'' holds, so ISs can be used to describe constraints on sets of elements ...
Karell Bertet, Mirabelle Nebut
doaj   +1 more source

Improved inclusion-exclusion identities via closure operators [PDF]

Discrete Mathematics & Theoretical Computer Science, 2000
Let (A_v)_v ∈ V be a finite family of sets. We establish an improved inclusion-exclusion identity for each closure operator on the power set of V having the unique base property.
Klaus Dohmen
doaj   +1 more source

Semistar Operations and Standard Closure Operations [PDF]

Communications in Algebra, 2014
The main change from the previous version is a new theorem in section 4 characterizing the standardized radical in terms of the total quotient ring. I also incorporated minor changes following the referee's comments.
openaire   +2 more sources

FUZZY CLOSURE SYSTEMS AND FUZZY CLOSURE OPERATORS

Communications of the Korean Mathematical Society, 2004
Summary: We introduce fuzzy closure systems and fuzzy closure operators as extensions of closure systems and closure operators. We study relationships between fuzzy closure systems and fuzzy closure spaces. In particular, two families \(F(S)\) and \(F(C)\) of fuzzy closure systems and fuzzy closure operators on \(X\) are complete lattice isomorphic.
Kim, Yong Chan, Ko, Jung Mi
openaire   +2 more sources

A novel topological structure based on closure filter [PDF]

Mathematics and Computational Sciences
This research explores a closure Filter structure which generates a novel closure Filter topology and defines a new operator that satisfies Kuratowski's closure axioms.
Raman Diwakar, Ramu Alagar
doaj   +1 more source