Results 231 to 240 of about 23,371 (266)

Openness with Respect to a Closure Operator

Applied Categorical Structures, 2000
The abstract notion of a closure operator \(c\) introduced by \textit{E. Giuli} and \textit{D. Dikranyan} [Topology Appl. 27, 129-143 (1987; Zbl 0634.54008)] permits to define easily the notion of \(c\)-closed map (loc. cit.). The authors study \(c\)-open maps [introduced by \textit{W. Tholen} and \textit{D.
Eraldo Giuli, Walter Tholen
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The Closure Operators of a Lattice

The Annals of Mathematics, 1942
Not ...
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Operations on Closure Operators

1995
Despite the powerful continuity condition, the notion of closure operator is very general. It is therefore important to provide tools for improving a given operator. Fortunately, there is a natural lattice structure for closure operators that allows us to distinguish between properties stable under meet (idempotency, hereditariness, productivity), and ...
D. Dikranjan, W. Tholen
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Connectedness with Respect to a Closure Operator

Applied Categorical Structures, 2001
For categories \(\mathcal C\) that are supplied with a factorization structure \(({\mathcal E}, M)\) for sinks, a closure operator \(C\) and a subclass \(N\) of \(M\), the author introduces a concept of connected objects. He demonstrates that under suitable additional conditions on \(\mathcal C\) many classical results about topological connectedness ...
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FUZZIFYING CLOSURE SYSTEMS AND CLOSURE OPERATORS

2011
In this paper, we propose the concepts of fuzzifying closure systems and Birkhoff fuzzifying closure operators. In the framework of fuzzifying mathematics, we find that there still exists a one to one correspondence between fuzzifying closure systems and Birkhoff fuzzifying closure operators as in the case of classical mathematics.
Luo, Xiaoli, Fang, Jinming
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Representations of structural closure operators

Archive for Mathematical Logic, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Logical extensions of the parametric closure operator

Discrete Mathematics and Applications, 2023
Sergey S Marchenkov
exaly  

On the Succinctness of Closure Operator Representations

2014
It is widely known that closure operators on finite sets can be represented by sets of implications (also known as inclusion dependencies) as well as by formal contexts. In this paper, we consider these two representation types, as well as generalizations of them: extended implications and context families.
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Insertion operations: Closure properties

Bull. EATCS, 1993
The paper investigates closure properties of families of languages (in Chomsky hierarchy) under various variants of insertion operations as introduced by the author [On insertion and deletion operations in formal languages, PhD Thesis, Univ. of Turku, Dept. of Math., 1991].
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Completeness criterion for the enumeration closure operator in three-valued logic

Discrete Mathematics and Applications, 2020
Sergey S Marchenkov
exaly