Results 21 to 30 of about 383 (157)
rw*-closed sets in Alexandroff Spaces
Journal of Physics: Conference Series, 2020 Abstract This paper explained and defined the notion of regular weakly-star closed (briefly known as rw*-closed) sets in alexandroff spaces in which every point has a minimal neighbourhood. We discuss the characterizations and study their properties based on set theory along with the notion of rw*-open sets.
N Bhardwaj, P Sharma
exaly +2 more sources
On the inverse limits of T0-Alexandroff spaces
Glasnik matematički, 2017 We show that if X is a locally compact, paracompact and Hausdorff space, then X can be realised as the subspace of all maximal points of the inverse limit of an inverse system of partial orders with an appropriate topology (equivalently T0-Alexandroff spaces). Then, the space X is homeomorphic to a deformation retract of that limit. Moreover, we extend
Paweł Bilski, Bilski, Paweł
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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
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The Frame of Nuclei on an Alexandroff Space [PDF]
Order, 2020 Let $\mathcal{O}S$ be the frame of open sets of a topological space $S$, and let $N(\mathcal{O}S)$ be the frame of nuclei of $\mathcal{O}S$. For an Alexandroff space $S$, we prove that $N(\mathcal{O}S)$ is spatial iff the infinite binary tree $\mathscr T_2$ does not embed isomorphically into $(S, \le)$, where $\le$ is the specialization preorder of $S$.
F. Ávila +3 more
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On Finite and Artinian To-Alexandroff Spaces [PDF]
, 2009 In this thesis, we study Alexandroff spaces which are topological spaces in which arbitrary intersection of open sets is open. We study, among other things, the two papers titled "On finite To- topological spaces" by A. E. El-Atik et al. [4] and "On To- Alexandroff spaces" by H. B. Mahdi et al. [12]. We compare the study of the two papers and study the
Said, Nader Fathi
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New Types of Alexandroff Lattice Spaces [PDF]
, 2017 In this paper, we introduce and investigate new types of Alexandroff spaces using well known types of posets; under the conditions that the corresponding poset is complete lattice, distributive lattice and Boolean Algebra. We present some results about these types.
Mahdi, Hisham B., Othman, Heba A.
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Minimal Structure and Related Alexandroff Spaces [PDF]
, 2014 Alexandroff topological space is a kind of topology which satisfies a stronger condition. Namely, arbitrary intersections of open sets is open. The main aim of this thesis is to study the concepts of an Alexandroff topological spaces which related to a family of subsets of a nonempty set called minimal structure. We study some families of a new type of
Asad, Asmaa Asad
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Growth portfolios buffer climate‐linked environmental change in marine systems
Ecology, Volume 104, Issue 3, March 2023., 2023 Abstract Large‐scale, climate‐induced synchrony in the productivity of fish populations is becoming more pronounced in the world's oceans. As synchrony increases, a population's “portfolio” of responses can be diminished, in turn reducing its resilience to strong perturbation.
Steven E. Campana +19 more
wiley +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
On the cohomology of arrangements of subtori
Journal of the London Mathematical Society, Volume 106, Issue 3, Page 1999-2029, October 2022., 2022 Abstract Given an arrangement of subtori of arbitrary codimension in a complex torus, we compute the cohomology groups of the complement. Then, by using the Leray spectral sequence, we describe the multiplicative structure on the associated graded cohomology. We also provide a differential model for the cohomology ring, by considering a toric wonderful
Luca Moci, Roberto Pagaria
wiley +1 more source