Topological

In mathematics, topology is concerned with the properties of a geometric object that are preserved under continuous deformations, such as stretching, twisting, crumpling, and bending; that is, without closing holes, opening holes, tearing, gluing, or passing through itself. A topological space is a set endowed with a structure, called a topology, which allows defining continuous deformation of subspaces, and, more generally, all kinds of continuity. Euclidean spaces, and, more generally, metric spaces are examples of a topological space, as any distance or metric defines a topology. The deformations that are considered in topology are homeomorphisms and homotopies. A property that is invariant under such deformations is a topological property.

Read more in the app

Topological superconductors: Fertile ground for elusive Majorana ('angel') particle

Topological Materials Are Everywhere – New Database Reveals Over 90,000

Is it topological? A new materials database has the answer

Hybrid quantum bit based on topological insulators

Topological Phenomena Found at High Frequencies for 5G Communications and Quantum Information Processing

Making a ‘sandwich’ out of magnets and topological insulators, potential for lossless electronics

Researchers find topological phenomena at high, technologically relevant frequencies

A 'zigzag' blueprint for topological electronics

The first topological acoustic transistor

A new topological magnet with colossal angular magnetoresistance

Topological valley Hall edge solitons in photonics

Topological Circuits That Force Photons To Never Bounce Back

Tiny lasers acting together as one: Topological vertical cavity laser arrays

Electrons on the edge: The story of an intrinsic magnetic topological insulator

Observing a higher-dimensional topological state with metamaterials

Physicists find room-temperature, 2D-to-1D topological transition

New Exotic Magnetic Quasiparticle: “Skyrmion Bundle” Joins Topological Zoo

Researchers discover a 'layer Hall effect' in a 2D topological Axion antiferromagnet

Future information technologies: Topological materials for ultrafast spintronics

Future information technologies: Topological materials for ultrafast spintronics