Results 31 to 40 of about 797,892 (301)

Operational closure and stability [PDF]

Annals of Pure and Applied Logic, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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A Theory of Closure Operators [PDF]

, 2008
We explore how fixed-point operators can be designed to interact and be composed to form autonomic control mechanisms. We depart from the idea that an operator is idempotent only for the states that it assures, and define a more general concept in which acceptable states are a superset of assurable states.
Alva L. Couch, Marc Chiarini
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Level sets regularization with application to optimization problems

Cubo, 2020
Given a coupling function $c$ and a non empty subset of $\R$, we define a closure operator. We are interested in extended real-valued functions whose sub-level sets are closed for this operator. Since this class of functions is closed under pointwise
Moussa Barro, Sado Traoré
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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
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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
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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
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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
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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
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Closure operators [PDF]

Journal of the Australian Mathematical Society, 1975
A mapping κ: P(X) → P(X) is a quasi-closure operator (see Thron (1966) page 44) if (i) □κ = □, and for all A, B ∈ P(X) we have (ii) A ⊆ Aκ, and (iii) (A ⋓ B)κ = Aκ ∪ Bκ one easily deduces that such operators have the further property: (iv) if A ⊆ B ⊆ X, then Aκ if κ also satisfies: (v) Aκ2 ⊆ Aκ for all A ⊆ X, then κ is called a Kuratowski closure ...
Collyer, P. J., Sullivan, R. P.
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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
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