Results 31 to 40 of about 365 (176)
Journal of Advanced Studies in Topology, 2012 Summary: We show first that every topology \(\tau\) has a minimum Alexandroff topology expansion \(\tau^{A}\) and investigate such expansion topologies. Then, we lift the Ginsburg structure theorem for homogeneous finite spaces to the class of homogeneous partition spaces which includes the class of homogeneous locally finite spaces.
Rose, David +2 more
openaire +2 more sources
Epi‐α‐Normality and Epi‐β‐Normality
Journal of Mathematics, Volume 2021, Issue 1, 2021., 2021 A topological space (Y, τ) is called epi‐α‐normal (epi‐β‐normal) if there is a coarser topology τ′ on Y such that (Y, τ′) is T1 α‐normal (T1 β‐normal). We investigate these properties and show some examples to explain the relationships of epi‐α‐normal (epi‐β‐normal) with other weaker versions of normality and some topological spaces.
Nadia Gheith +2 more
wiley +1 more source
The Alexandroff Dimension of Digital Quotients of Euclidean Spaces [PDF]
Discrete & Computational Geometry, 2002 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Petra Wiederhold, Richard G. Wilson
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On the triviality of flows in Alexandroff spaces
Topology and its Applications, 2023 We prove that the unique possible flow in an Alexandroff $T_0$-space is the trivial one. To motivate this result, we relate Alexandroff spaces to topological hyperspaces.
Chocano, Pedro J. +3 more
openaire +3 more sources
Ways of obtaining topological measures on locally compact spaces [PDF]
Известия Иркутского государственного университета: Серия "Математика", 2018 Topological measures and quasi-linear functionals generalize measures and li\-near functionals. Deficient topological measures, in turn, generalize topological measures.
S. V. Butler
doaj +1 more source
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 +1 more source
Some Topological Notations via Maki’s Λ‐Sets
Complexity, Volume 2020, Issue 1, 2020., 2020 Our purpose is to present the notions of a β‐Λ‐set and a β‐V‐sets in topological space. We discuss the basic properties of β‐Λ‐sets and β‐V‐sets. Also, the achievement of the topology defined by these families of sets is obtained. Finally, these results are applied to the case of (X, τ) which is the digital n‐space (Zn, Kn) (cf. Section 4).
A. A. Azzam +2 more
wiley +1 more source
Topologies, posets and finite quandles
Extracta Mathematicae, 2022 An Alexandroff space is a topological space in which every intersection of open sets is open. There is one to one correspondence between Alexandroff T0 -spaces and partially ordered sets (posets).
M. Elhamdadi, H. Lahrani, T. Gona
doaj
Applied General Topology, 2017 We revisit the computation of entourage sections of the constant uniformity of the product of countably many copies the Alexandroff one-point compactification called the Fort space. Furthermore, we define the concept of a quasi-uniformity on a product of
Olivier Olela Otafudu, Hope Sabao
doaj +1 more source
, 2021 ilustraciones, gráficasEn este trabajo se realiza un estudio de las propiedades que tienen los espacios funcionales de Alexandroff y se presenta una forma de caracterizarlos a través de su preorden de especialización.
Mesa Bueno, Julian David
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