Results 1 to 10 of about 130 (113)
Generalized Alexandroff Duplicates and CD 0(K) spaces
Open Mathematics, 2006 Abstract We define and investigateCD Σ,Γ(K, E)-type spaces, which generalizeCD 0-type Banach lattices introduced in [1]. We state that the space CD Σ,Γ(K, E) can be represented as the space of E-valued continuous functions on the generalized Alexandroff Duplicate of K. As a corollary we obtain the main result of [6, 8].
Çaglar Mert, Ercan Zafer, Polat Faruk
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مجلة علوم ذي قار, 2019 In this paper we introduce a new definition of the topological space weaker of Alexandroff space, namely pre-Alexandroff space. These spaces are which arbitrary intersection of an open set is a pre-open set.
Ayed .E. Hashoosh Al-Badry
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On Homotopy Types of Alexandroff Spaces [PDF]
Order, 2009 We generalise some results of R. E. Stong concerning finite spaces to wider subclasses of Alexandroff spaces. These include theorems on function spaces, cores and homotopy type. In particular, we characterize pairs of spaces X,Y such that the compact-open topology on C(X,Y) is Alexandroff, introduce the classes of finite-paths and bounded-paths spaces ...
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The Avoidance Spectrum of Alexandroff Spaces
Universitas ScientiarumIn 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
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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.
Pedro J Chocano +2 more
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On I-Alexandroff and Ig-Alexandroff ideal topological spaces
Filomat, 2011 In this paper, the notions of I -Alexandroff and Ig-Alexandroff ideal topological spaces are introduced and studied. Also, characterizations and properties of I-Alexandroff and Ig-Alexandroff ideal topological spaces are investigated.
Erdal Ekici, Ekici Erdal
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The Alexandroff Dimension of Digital Quotients of Euclidean Spaces [PDF]
Discrete and Computational Geometry, 2002 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wilson R G
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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 +2 more
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Dimensions of the type dim and Alexandroff spaces
Journal of the Egyptian Mathematical Society, 2013 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
D N Georgiou +2 more
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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
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