Results 11 to 20 of about 67,341 (246)
Soft ωp-Open Sets and Soft ωp-Continuity in Soft Topological Spaces
Mathematics, 2021 We define soft ωp-openness as a strong form of soft pre-openness. We prove that the class of soft ωp-open sets is closed under soft union and do not form a soft topology, in general. We prove that soft ωp-open sets which are countable are soft open sets,
Samer Al Ghour
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Between Soft θ-Openness and Soft ω0-Openness
Axioms, 2023 In this paper, we define and investigate soft ωθ-open sets as a novel type of soft set. We characterize them and demonstrate that they form a soft topology that lies strictly between the soft topologies of soft θ-open sets and soft ω0-open sets. Moreover,
Samer Al Ghour
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Soft Ideal Theory Soft Local Function and Generated Soft Topological Spaces [PDF]
Applied Mathematics & Information Sciences, 2014 The purpose of this paper is to introduce the notion of soft ideal in soft set theory. The concept of soft local function is also introduced. These concepts are discussed with a view to find new soft topologies from the original one. The basic structure, especially a basis for such generated soft topologies also studied here.
A. Kandil +3 more
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Poincar\'e-Verdier duality in o-minimal structures [PDF]
, 2010 Here we prove a Poincar\'e-Verdier duality theorem for the o-minimal sheaf cohomology with definably compact supports of definably normal, definably locally compact spaces in an arbitrary o-minimal structure.Comment: 23 pages, uses xy ...
Edmundo, Mario J., Prelli, Luca
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Topological states in two-dimensional optical lattices [PDF]
, 2010 We present a general analysis of two-dimensional optical lattice models that give rise to topologically non-trivial insulating states. We identify the main ingredients of the lattice models that are responsible for the non-trivial topological character ...
Galitski, Victor +2 more
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Decoding Across the Quantum LDPC Code Landscape [PDF]
, 2020 We show that belief propagation combined with ordered statistics post-processing is a general decoder for quantum low density parity check codes constructed from the hypergraph product.
Burton, Simon +3 more
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On Soft $\mu$-Compact Soft Generalized Topological Spaces
Journal of Uncertainty in Mathematics Science, 2014 The main purpose of this paper is to introduce soft $\mu$-compact soft generalized topological spaces as a generalization of compact spaces. A soft generalized topological space $(F_A, \mu)$ is soft $\mu$-compact if every soft $\mu$-open soft cover of $F_A$ admits a finite soft sub cover.
Sunil Jacob John, Jyothis Thomas
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Topological mechanics of origami and kirigami [PDF]
, 2016 Origami and kirigami have emerged as potential tools for the design of mechanical metamaterials whose properties such as curvature, Poisson ratio, and existence of metastable states can be tuned using purely geometric criteria.
Chen, Bryan Gin-ge +6 more
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Gapless Bosonic Excitation without symmetry breaking: Novel Algebraic Spin liquid with soft Gravitons [PDF]
, 2006 A novel quantum ground state of matter is realized in a bosonic model on three dimensional fcc lattice with emergent low energy excitations. The novel phase obtained is a stable gapless boson liquid phase, with algebraic boson density correlations.
A. M. Polyakov +7 more
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Soft regular generalized closed sets in soft topological spaces
International Journal of Mathematical Analysis, 2014 Many researchers defined some basic notions on soft topology and studied many properties. In this paper, we define soft regular generalized closed and open sets in soft topological spaces and studied their some properties. We introduce these concepts which are defined over an initial universe with a fixed set of parameters.
Yüksel S., Tozlu N., Ergül Z.G.
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