Results 1 to 10 of about 59 (51)
The Centre of the Spaces of Banach Lattice-Valued Continuous Functions on the Generalized Alexandroff Duplicate [PDF]
Abstract and Applied Analysis, 2011 We characterize the centre of the Banach lattice of Banach lattice 𝐸-valued continuous functions on the Alexandroff duplicate of a compact Hausdorff space 𝐾 in terms of the centre of 𝐶(𝐾,𝐸), the space of 𝐸-valued continuous functions on 𝐾.
Faruk Polat
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Disconnection in the Alexandroff duplicate
Applied General Topology, 2021 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 space ...
Papiya Bhattacharjee +2 more
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Applied General Topology, 2022 We discuss spaces and the Alexandroff duplicates of those spaces that admit a Č-S embedding into the Čech-Stone compactification of a discrete space.
Andrzej A Szymanski
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The Alexandroff Duplicate and its subspaces
Applied General Topology, 2007 We study some topological properties of the class of the Alexandroff duplicates and their subspaces. We give a characterization of metrizability and Lindel¨of properties of subspaces of the Alexandroff duplicate.
Agata Caserta, Stephen Watson
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Results about the Alexandroff duplicate space
Applied General Topology, 2016 In this paper, we present some new results about the Alexandroff Duplicate Space. We prove that if a space X has the property P, then its Alexandroff Duplicate space A(X) may not have P, where P is one of the following properties: extremally ...
Khulod Almontashery, Lutfi Kalantan
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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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Transversal and
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.
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Compact self T1-complementary spaces without isolated points
Applied General Topology, 2009 We present an example of a compact Hausdorff self T1-complementary space without isolated points. This answers Question 3.11 from [A compact Hausdorff topology that is a T1-complementof itself, Fund. Math. 175 (2002), 163–173] affirmatively.
Mikhail Tkachenko
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Absolutely strongly star-Hurewicz spaces
Open Mathematics, 2015 A space X is absolutely strongly star-Hurewicz if for each sequence (Un :n ∈ℕ/ of open covers of X and each dense subset D of X, there exists a sequence (Fn :n ∈ℕ/ of finite subsets of D such that for each x ∈X, x ∈St(Fn; Un) for all but finitely many n.
Song Yan-Kui
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$r$-skeletons on the Alexandroff duplicate
, 2018 An $r$-skeleton on a compact space is a family of continuous retractions having certain rich properties. The $r$-skeletons have been used to characterized the Valdivia compact spaces and the Corson compact spaces. Here, we characterized a compact space with an $r$-skeleton, for which the given $r$-skeleton can be extended to an $r$-skeleton on the ...
Garcia-Ferreira, S., Yescas-Aparicio, C.
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