Results 21 to 30 of about 294 (153)
Disconnection in the Alexandroff duplicate [PDF]
, 2021 [EN] It was demonstrated in [2] that the Alexandroff duplicate of the Čech-Stone compactification of the naturals is not extremally disconnected. The question was raised as to whether the Alexandroff duplicate of a non-discrete extremally disconnected ...
Knox, Michelle L. +5 more
core +1 more source
Primal Topologies on Finite‐Dimensional Vector Spaces Induced by Matrices
International Journal of Mathematics and Mathematical Sciences, Volume 2023, Issue 1, 2023., 2023 Given an matrix A, considered as a linear map A : ℝn⟶ℝn, then A induces a topological space structure on ℝn which differs quite a lot from the usual one (induced by the Euclidean metric). This new topological structure on ℝn has very interesting properties with a nice special geometric flavor, and it is a particular case of the so called “primal space,”
Luis Mejías +4 more
wiley +1 more source
When is a monotone function cyclically monotone?
Theoretical Economics, Volume 16, Issue 3, Page 853-879, July 2021., 2021 We provide sufficient conditions for a monotone function with a finite set of outcomes to be cyclically monotone. Using these conditions, we show that any monotone function defined on the domain of gross substitutes is cyclically monotone. The result also extends to the domain of generalized gross substitutes and complements.
Alexey I. Kushnir, Lev V. Lokutsievskiy
wiley +1 more source
A New Approach to Concavity Fuzzification
Journal of Mathematics, Volume 2021, Issue 1, 2021., 2021 In this paper, we introduce a more general approach to the fuzzification of fuzzy concavity. More specifically, the degree of (L, M)‐fuzzy concavity is introduced and characterized as a generalization of L‐concave structure and (L, M)‐fuzzy concave structure.
Ibtesam Alshammari +3 more
wiley +1 more source
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
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
On some topological properties in the class of Alexandroff spaces
TURKISH JOURNAL OF MATHEMATICS, 2021 A space \(X\) is \textit{Alexandroff} if every element of \(X\) has a minimal neighbourhood; \(X\) is a \textit{door space} if every subset is either open or closed, and \(X\) is \textit{submaximal} if every dense subspace is open. After an introductory section, Section 2 of this paper contains characterizations of Alexandroff door spaces, Alexandroff ...
Sami LAZAAR, Houssem SABRI, Randa TAHRI
openaire +2 more sources
The Fixed Point Property of the Infinite M-Sphere
Mathematics, 2020 The present paper is concerned with the Alexandroff one point compactification of the Marcus-Wyse (M-, for brevity) topological space ( Z 2 , γ ) . This compactification is called the infinite M-topological sphere and denoted by ( ( Z
Sang-Eon Han, Selma Özçağ
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
Electronic Research Archive, 2023 <abstract><p>The present paper aims to investigate some semi-separation axioms relating to the Alexandroff one point compactification (Alexandroff compactification, for short) of the digital plane with the Marcus-Wyse ($ MW $-, for brevity) topology.
Sik Lee, Sang-Eon Han
openaire +3 more sources