Topological spaces form the foundational framework for modern analysis and geometry, characterised by a set equipped with a collection of open subsets satisfying specific axioms. This flexible ...

The Scott topology, originating within domain theory, provides an intrinsic framework for analysing partially ordered sets, particularly directed complete partial orders (dcpo’s). In this topology, ...

To explore this long-standing mystery, an international team of scientists formed a group known as the Collaboration for ...

On the left, the schematic illustration depicts the gluing rules of the Brillouin manifold, with a half-twist operation connecting the opposing faces. On the right, the BZ is divided into 64 blocks by ...

Topological photonics promises robust light transport immune to disorder, but existing linear systems are essentially static ...

Topological photonics has emerged as a powerful paradigm for achieving robust light transport that is immune to imperfections, disorder, and ...