Results 1 to 10 of about 114 (99)

Necessary or sufficient condition for Alexandroff topological spaces to be cordial graphic

Results in Control and Optimization, 2023
In this paper, we explore the property of being a cordial graphic and establish that it corresponds to an Alexandroff topological space. We analyze how the characteristics of cordial graphs align with the principles of Alexandroff topology and provide ...
A. Divya, K. Ramya, D. Sasikala
doaj   +2 more sources

Alexandroff topologies and monoid actions

Forum Mathematicum, 2020
Abstract Given a monoid S acting (on the left) on a set X, all the subsets of X which are invariant with respect to such an action constitute the family of the closed subsets of an Alexandroff topology on X. Conversely, we prove that any Alexandroff topology may be obtained through a monoid action.
Giampiero Chiaselotti, Federico G Infusino   +1 more
exaly   +4 more sources

Alexandroff and Scott Topologies for Generalized Metric Spaces [PDF]

Annals of the New York Academy of Sciences, 1996
ABSTRACT:Generalized metric spaces are a common generalization of preorders and ordinary metric spaces. Every generalized metric space can be isometrically embedded in a complete function space by means of a metric version of the categoricalYoneda embedding. This simple fact gives naturally rise to: 1. a topology for generalized metric spaces which for
Marcello Bonsangue, J J M M Rütten
exaly   +3 more sources

Alexandroff Topology of Algebras Over an Integral Domain [PDF]

Mediterranean Journal of Mathematics, 2020
Let $S$ be an integral domain with field of fractions $F$ and let $A$ be an $F$-algebra. An $S$-subalgebra $R$ of $A$ is called $S$-nice if $R$ is lying over $S$ and the localization of $R$ with respect to $S \setminus \{ 0 \}$ is $A$. Let $\mathbb S$ be the set of all $S$-nice subalgebras of $A$.
exaly   +4 more sources

T_0 functional Alexandroff topologies are partial metrizable

Applied General Topology
If f : X → X is a function, the associated functional Alexandroff topology on X is the topology whose closed sets are { A ⊆ X : f ( A ) ⊆ A } . We prove that every functional Alexandroff topology is pseudopartial metrizable and every T0 functional ...
Homeira Pajoohesh
doaj   +4 more sources

Topological realizations of groups in Alexandroff spaces [PDF]

Revista De La Real Academia De Ciencias Exactas, Fisicas Y Naturales - Serie A: Matematicas, 2020
We prove that every group can be realized as the homeomorphism group and as the group of (pointed) homotopy classes of (pointed) self-homotopy equivalences of infinitely many non-homotopy-equivalent Alexandroff spaces.
Pedro J Chocano, Manuel A Moron, FRANCISCO R Ruiz Del Portal   +2 more
exaly   +5 more sources

On metrization of the hit-or-miss topology using Alexandroff compactification

International Journal of Approximate Reasoning, 2007
The authors consider the hyperspace \(\mathcal F(E)\) of closed subsets of a Hausdorff topological space \(E\), endowed with the so-called Fell topology \(\tau_f\) (termed hit-or-miss topology in the paper) having subbase elements of the form \(\{A\in\mathcal F(E): A\cap U\neq\emptyset\}\) and \(\{A\in\mathcal F(E): A\cap K=\emptyset\}\), where \(U ...
Yangeng Wang
exaly   +3 more sources

P.S. Alexandroff and Topology: an introductory note

Topology and Its Applications, 1997
A V Arhangel'Skii, A N Dranishnikov
exaly   +3 more sources

Z-graphic topology on undirected graph

Kuwait Journal of Science, 2023
In this work, we define $\mathcal{Z}_{G}$ a topology on the vertex set of a graph $G$ which preserves the connectivity of the graph, called $\mathcal{Z}$-graphic topology. We prove that two isomorphic graphs have homeomorphic and symmetric $\mathcal{Z}$-
Hanan Omer Zomam, Makkia Dammak
doaj   +1 more source

Behavior of open sets in bi-Alexandroff topological space [PDF]

Malaya Journal of Matematik, 2020
The goal of this paper is to establish, the properties of which exhibit the characterization of a $j$-open set in bi-Alexandroff topological space and some properties of $j$-open set are analyzed. Also we have studied the notion of $j$-bi-continuous function in bi-Alexandroff topological space.
null D. Sasikala, null A. Divya
openaire   +1 more source