Results 131 to 140 of about 294 (153)

Alexandroff L-co-topological spaces

Fuzzy Sets and Systems, 2010
The paper deals with Alexandroff \(L\)-topological spaces and \(L\)-co-topological spaces, where \((L,I,\ast,\to)\) is a commutative, unital quantale. It is proved that every finite strong \(L\)-co-topological space is Alexandroff and that the category of Alexandroff strong \(L\)-co-topological spaces is the coreflective hull of the subcategory of ...
Dexue Zhang
exaly   +3 more sources

Continuity properties and Alexandroff theorem in Vietoris topology

Fuzzy Sets and Systems, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Alina Gavrilut
exaly   +2 more sources

L-valued quasi-overlap functions, L-valued overlap index, and Alexandroff’s topology

Computational and Applied Mathematics, 2021
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Rui Paiva, Benjamin Bedregal, Bedregal Benjamin   +2 more
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ALEXANDROFF SPACES AND GRAPHIC TOPOLOGY

Advances in Mathematics: Scientific Journal, 2021
This work studies and gives some conditions for an Alexandroff space to be graphic topological space by using some basic properties of graphic topology such as locally finitely property. That is, we offer some answer for the open problem which is recalled in \cite{AJK} (Problem 2 page 658).
H.O. Zomam, H.A. Othman, M. Dammak
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Continuity properties and Alexandroff theorem in Vietoris topology

2019
Alina Gavrilut, Ioan Merches, Maricel Agop   +2 more
exaly   +2 more sources

Structural and Numerical Studies of Some Topological Properties for Alexandroff Spaces

Bulletin of the Iranian Mathematical Society, 2021
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Lazaar, Sami, Sabri, Houssem, Tahri, Randa   +2 more
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Dimensions of the type dim and Alexandroff spaces

Journal of the Egyptian Mathematical Society, 2013
Alexandroff spaces have all the properties of finite spaces and therefore play an important role in digital topology, image analysis, and computer graphics.
D N Georgiou, Sang-Eon Han, A C Megaritis   +2 more
exaly   +2 more sources

First Alexandroff Decomposition Theorem for Topological Lattice Group Valued Measures

Order, 2000
Let \((X,{\mathcal F})\) be an Alexandroff space, i.e., a system of subsets of a set \(X\) with respect to finite unions and countable intersections with \(\emptyset,X\in{\mathcal F}\). Alexandroff proved that any inner regular bounded measure \(\mu: a({\mathcal F})\to\mathbb{R}\) defined on the algebra generated by \({\mathcal F}\) has a decomposition
P. Morales, F. García Mazarío, Pedro Jiménez Guerra   +2 more
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A non-commutative version of the first alexandroff decomposition theorem in ordered topological groups

Rendiconti del Circolo Matematico di Palermo, 2000
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DE LUCIA, PAOLO, MORALES P.
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Solutions of problems of P. S. Alexandroff on extensions of topological spaces

Annali di Matematica Pura ed Applicata, 1970
The purpose of this note is to announce the solutions of the remaining unanswered questions appearing in P.S. Alexandgoff's classical paper on αR, extension of topological spaces. Two answers are presented in detail.
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