Results 71 to 80 of about 5,719,386 (368)
A Note on Finite Coarse Shape Groups
Axioms, 2023 In this paper, we investigate properties concerning some recently introduced finite coarse shape invariants—the k-th finite coarse shape group of a pointed topological space and the k-th relative finite coarse shape group of a pointed topological pair ...
Ivan Jelić, Nikola Koceić-Bilan
doaj +1 more source
Inherently Global Nature of Topological Charge Fluctuations in QCD
, 2005 We have recently presented evidence that in configurations dominating the regularized pure-glue QCD path integral, the topological charge density constructed from overlap Dirac operator organizes into an ordered space-time structure.
Alexandru, A. +10 more
core +4 more sources
All-Si valley-Hall photonic topological insulator [PDF]
Conference on Lasers and Electro-Optics, 2016 An all-Si photonic structure emulating the quantum-valley-Hall effect is proposed. We show that it acts as a photonic topological insulator (PTI), and that an interface between two such PTIs can support edge states that are free from scattering.
Tzuhsuan Ma, G. Shvets
semanticscholar +1 more source
Fractal Topology Foundations [PDF]
Topology and Its Applications, V159, 3156-3170, 2012, 2012 In this paper, we introduce the foundation of a fractal topological space constructed via a family of nested topological spaces endowed with subspace topologies, where the number of topological spaces involved in this family is related to the appearance of new structures on it.
arxiv +1 more source
, 2018 A discrete non-linear $\sigma$-model is obtained by triangulate both the space-time $M^{d+1}$ and the target space $K$. If the path integral is given by the sum of all the complex homomorphisms $\phi: M^{d+1} \to K$, with an partition function that is ...
Lan, Tian +2 more
core +1 more source
Topological insulator laser: Theory
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.
G. Harari +7 more
semanticscholar +1 more source
Locally compact space and continuity
Bibechana, 2010 Topological spaces for being T0, T1, T2 and regular space have been discussed. The conditions for a topological space to be locally compact have also been studied. We have found that a continuous function preserves locally compactness.
Shitanshu Shekhar Choudhary +1 more
doaj +3 more sources
An operation on topological spaces
Applied General Topology, 2000 <p>A (binary) product operation on a topological space X is considered. The only restrictions are that some element e of X is a left and a right identity with respect to this multiplication, and that certain natural continuity requirements are satisfied. The operation is called diagonalization (of X). Two problems are considered: 1.
openaire +5 more sources
Topological Structures on DMC Spaces † [PDF]
Entropy, 2017 Two channels are said to be equivalent if they are degraded from each other. The space of equivalent channels with input alphabet X and output alphabet Y can be naturally endowed with the quotient of the Euclidean topology by the equivalence relation.
openaire +9 more sources
Mechanical Metamaterials for Bioengineering: In Vitro, Wearable, and Implantable Applications
Advanced Engineering Materials, EarlyView.Mechanical metamaterials with engineered architectures exhibit properties that differ from and greatly surpass those of their constituent bulk materials. This review summarizes the applications of mechanical metamaterials in bioengineering, focusing on advances in the last 5 years.
Madihah Kazim +2 more
wiley +1 more source