Our perception of our environment can deceive us. A map, although flat, effectively guides us through a space that, in ...

While you don't need topology to determine that you are living on something like a giant beach ball, knowing all the possible 2D spaces can be useful. Over a century ago, mathematicians figured ...

By integrating discrete topology with non-linear dynamics, the research highlights how topological signals, dynamical variables defined on nodes, edges, triangles, and other higher-order ...

For example, the surface of a giant doughnut is another 2D space. Through a field called geometric topology, mathematicians like me study all possible spaces in all dimensions. Whether trying to ...