Results 61 to 70 of about 5,719,386 (368)
Nigh-Open Sets in Topological Space
International Journal of Analysis and Applications, 2023 In this paper, we aim to introduce a new class of open sets namely nigh-open set. Accordingly, we define a topological space called a nigh-topological space. This consequently leads us to outline several new operations in connection with the sets in nigh-
Jamal Oudetallah +2 more
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Momentum-space imaging of Cooper pairing in a half-Dirac-gas topological superconductor [PDF]
Nature Physics, 2014 Superconductivity involving topological Dirac electrons has recently been proposed as a platform between concepts in high-energy and condensed-matter physics. It has been predicted that supersymmetry and Majorana fermions, both of which remain elusive in
Su-Yang Xu +16 more
semanticscholar +1 more source
$\mathcal{S}_X$-convergence and locally hypercompact spaces [PDF]
arXiv, 2022 In this paper, we give a topological version of Scott convergence theorem for locally hypercompact spaces. We introduce the notion of $\mathcal{S}^*_X$-convergence on a $T_0$ topological space $X$, and define the notion of finitely approximated spaces. Monotone determined spaces are natural topological extensions of dcpos.
arxiv
Observation of topological valley transport of sound in sonic crystals [PDF]
Nature Physics, 2016 Valleytronics — exploiting a system’s pseudospin degree of freedom — is being increasingly explored in sonic crystals. Now, valley transport of sound is reported for a macroscopic triangular-lattice array of rod-like scatterers in a 2D air waveguide. The
Jiuyang Lu +6 more
semanticscholar +1 more source
p-topological Cauchy completions
International Journal of Mathematics and Mathematical Sciences, 1999 The duality between “regular” and “topological” as convergence space properties extends in a natural way to the more general properties “p-regular” and “p-topological.” Since earlier papers have investigated regular, p-regular, and topological Cauchy ...
J. Wig, D. C. Kent
doaj +1 more source
On i-topological spaces: generalization of the concept of a topological space via ideals
Applied General Topology, 2006 The aim of this paper is to generalize the structure of a topological space, preserving its certain topological properties. The main idea is to consider the union and intersection of sets modulo “small” sets which are defined via ideals.
Irina Zvina
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On chains in $H$-closed topological pospaces
, 2008 We study chains in an $H$-closed topological partially ordered space. We give sufficient conditions for a maximal chain $L$ in an $H$-closed topological partially ordered space such that $L$ contains a maximal (minimal) element.
AH Clifford +19 more
core +1 more source
On the Weight of a Topological Space [PDF]
Proceedings of the American Mathematical Society, 1974 The main result in this paper states that the weight of a regular space is the product of three cardinal functions, namely the Lindelöf degree, the pluming degree, and the point separating weight.
openaire +1 more source
On order-bounded subsets of locally solid Riesz spaces
, 2015 In a topological Riesz space there are two types of bounded subsets: order bounded subsets and topologically bounded subsets. It is natural to ask (1) whether an order bounded subset is topologically bounded and (2) whether a topologically bounded subset
Hong, Liang
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Topological insulator laser: Experiments
Science, 2018 Topological protection for lasers Ideas based on topology, initially developed in mathematics to describe the properties of geometric space under deformations, are now finding application in materials, electronics, and optics.
M. Bandres +7 more
semanticscholar +1 more source