By using the result of the scalarization of the weak efficient solutions set, a result of the connectedness of the weak efficient solution sets is obtained in topological vector space.
Nowadays, scientists are working to develop topological insulators, and some think they could be as important for future technologies as semiconductors are today.
So this year's Nobel Laureates have pioneered some important research into molecular machines and topological materials, and it looks like there's a lot more on the horizon!
So this year’s Nobel Laureates have pioneered some important research into molecular machines and topological materials, and it looks like there’s a lot more on the horizon!
Duncan Haldane, and Michael Kosterlitz won the award for discovering that even microscopic matter at the smallest scale can exhibit macroscopic properties and phases that are topological.
They then used their topological algorithm to figure out which areas were inaccessible by roads, then generated the most cost effective ways to build roads and connect them to outside services.
The edge of such a topological insulator has perfect electron transport: no electrons travel backward, no energy is lost as heat, and the number of conducting pathways can even be controlled.