Results 11 to 20 of about 294 (153)

The Avoidance Spectrum of Alexandroff Spaces

Universitas Scientiarum
In this paper we prove that every T0 Alexandroff topological space (𝑋, 𝜏) is homeomorphic to the avoidance of a subspace of (Spec(Λ), 𝜏𝑍), where Spec(Λ) denotes the prime spectrum of a semi-ring Λ induced by 𝜏, and 𝜏𝑍 is the Zariski topology.
Jorge Vielma, Luis Mejias
doaj   +3 more sources

Scott Topology and its Relation to the Alexandroff Topology [PDF]

, 2008
In this thesis, we survey the general topological concepts for the Scott topology, one of the fundamental foundations of theoretical computer science. We shall concentrate on the definition of the T0-Alexandroff space and some of its topological identifications so that the relation between the Scott topology and the T0-Alexandroff topology might be ...
Al-hanafi, Wael Mohammed
core   +4 more sources

The Jordan curve theorem in the Khalimsky plane [PDF]

Applied General Topology, 2008
The connectivity in Alexandroff topological spaces is equivalent to the path connectivity. This fact gets some specific properties to Z2, equipped with the Khalimsky topology.
Ezzeddine Bouassida
doaj   +2 more sources

Minimal TUD spaces [PDF]

Applied General Topology, 2002
A topological space is TUD if the derived set of each point is the union of disjoint closed sets. We show that there is a minimal TUD space which is not just the Alexandroff topology on a linear order. Indeed the structure of the underlying partial order
A.E. McCluskey, W.S. Watson
doaj   +2 more sources

On Some Properties of Whyburn Spaces. [PDF]

Comput Intell Neurosci, 2022
Computational Intelligence and Neuroscience, Volume 2022, Issue 1, 2022.
Mhemdi A, Lazaar S, Dourari K.
europepmc   +2 more sources

The Alexandroff property and the preservation of strong uniform continuity [PDF]

Applied General Topology, 2010
In this paper we extend the theory of strong uniform continuity and strong uniform convergence, developed in the setting of metric spaces in, to the uniform space setting, where again the notion of shields plays a key role.
Gerald Beer
doaj   +2 more sources

The Topology T* on Alexandroff Spaces [PDF]

, 2017
The generalized closure operator  induces a topology . In this paper, we study the topology  on lower bounded Alexandroff spaces. We prove that  is a submaximal Alexandroff space. We get some new results about the relation between  and . Then we prove that a subset  in a lower bounded space is closed set if and only if  is
Mahdi, Hisham B., Elostath, Lubna
openaire   +1 more source

Transversal and T1-independent topologies and the Alexandroff duplicate

Topology and its Applications, 2012
From the authors' abstract/introduction: We find new classes of spaces that admit a compact transversal and/or \(T_1\)-independent topology and present several examples and counterexamples\dots\ The Alexandroff duplicate of a topological space plays an important role in our considerations.
Błaszczyk, A., Tkachenko, M.
core   +4 more sources

On some approximation theorems for power q-bounded operators on locally convex vector spaces. [PDF]

ScientificWorldJournal, 2014
This paper deals with the study of some operator inequalities involving the power q‐bounded operators along with the most known properties and results, in the more general framework of locally convex vector spaces.
Lemle LD.
europepmc   +2 more sources

Alexandroff duplicate and βκ [PDF]

, 2022
[EN] We discuss spaces and the Alexandroff duplicates of those spaces that admit a C-S embedding into the Cech-Stone compactification of a discrete space.Szymanski, AA. (2022). Alexandroff duplicate and βκ. Applied General Topology. 23(1):225-234. https:
Szymanski, Andrzej A
core   +1 more source