Topological complexity is a central concept that bridges the abstract methodologies of algebraic topology with the practical challenges of robot motion planning. It provides a numerical invariant that ...
The study of fundamental groups and topological spaces forms a central part of algebraic topology, linking algebraic structures with geometric intuition. The fundamental group, defined as the set of ...
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 ...
Morning Overview on MSN
Scientists uncover a bizarre state of matter that shouldn’t be possible
In a quiet corner of low-temperature physics, researchers have stumbled on a phase of matter that seems to break one of the field’s unwritten rules: it works without well-defined particles. Instead of ...
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