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.

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Revealing the complex magnetization reversal mechanism with topological data analysis

Transformation between different topological spin textures

A faster experiment to find and study topological materials

Physicists use 'electron correlations' to control topological materials

Physicists demo method for designing topological metals

New Insights into the Interaction of Topological Insulators

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