Results 271 to 280 of about 9,971,653 (340)

Extensions of Closure Spaces

Canadian Journal of Mathematics, 1977
Extension theory has been intensively studied for completely regular spaces and is fairly well developed for T0-topological spaces. (See, for example, [1] and [5]). However, except for definitions of some of the basic concepts in [4] and results on embedding of closure spaces in cubes in [2] and [7], ours is the first study of the general theory of ...
Chattopadhyay, K. C., Thron, W. J.
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Asymmetric space closure

American Journal of Orthodontics and Dentofacial Orthopedics, 1986
In a vertically slotted 0.022 X 0.028 inch edgewise system, the use of a two-dimensional ribbon arch--0.022 X 0.016 inch from lateral incisor to lateral incisor and 0.016 X 0.022 inch from the canine to the molars--plus an uprighting spring on the canine maintained incisor position while unilaterally protracting a molar-premolar unit by means of ...
A A, Gianelly, J B, Smith, J R, Bednar, V S, Dietz   +3 more
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The R-completion of closure spaces

Topology and its Applications, 2022
Given a full subcategory \(\mathbf{R}\) of the category \(\mathbf{CL_0}\) of \(T_0\)-closure spaces and continuous maps, satisfying four necessary conditions, the authors construct an \(R\)-completion for closure spaces. This completion is a reflection into the category \(\mathbf{R}\). This general construction is applicable to several known situations.
Zhongxi Zhang, Fu-Gui Shi, Qingguo Li
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Merotopic Spaces and Extensions of Closure Spaces

Canadian Journal of Mathematics, 1983
Proximity spaces and contiguity spaces, and more recently nearness spaces, have been studied not just because they provide various approaches to uniform structure. Possibly of greater importance is that they can be used as a means of introducing compactifications and more general extensions of the topological spaces on which they are defined. Riesz [20]
Chattopadhyay, K. C., Njåstad, Olav, Thron, W. J.   +2 more
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Maximal Closed Set and Half-Space Separations in Finite Closure Systems

ECML/PKDD, 2019
Several problems of artificial intelligence, such as predictive learning, formal concept analysis or inductive logic programming, can be viewed as a special case of half-space separation in abstract closure systems over finite ground sets.
Florian Seiffarth, T. Horváth, S. Wrobel   +2 more
semanticscholar   +1 more source

Space-efficient closure representations

Proceedings of the 1994 ACM conference on LISP and functional programming - LFP '94, 1994
Many modern compilers implement function calls (or returns) in two steps: first, a closure environment is properly installed to provide access for free variables in the target program fragment; second, the control is transferred to the target by a “jump with arguments (or results)”. Closure conversion
Zhong Shao 0001, Andrew W. Appel
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Disjunctions in closure spaces

Studia Logica, 1985
This paper is the continuation of the author's investigations on closure spaces [Stud. Logica 43, 341-351 (1984; Zbl 0587.03046)]. The main result presented in the paper gives a characterization of closure spaces with \(\)-regular bases in terms of Q-embeddings preserving disjunctions.
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Closure Spaces of Finite Type

Results in Mathematics, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kreuzer, Alexander, Sörensen, Kay
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Generalization of L-closure spaces

Fuzzy Sets and Systems, 2005
The concept of closure spaces is generalized to the \(L\)-fuzzy setting. The convergence of nets and ideals, and the properties of continuous generalized order homomorphisms are studied in \(L\)-closure spaces. Operations of \(L\)-closure spaces such as subspaces, sums, product spaces etc. are discussed. Some category properties are considered.
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Polynomial Space and Transitive Closure

SIAM Journal on Computing, 1979
A characterization of PSPACE in terms of the regular sets and certain algebraic closure operations is developed. It is shown that NP = PSPACE if and only if NP is closed under a form of the transitive closure operation.
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