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

Through a field called geometric topology, mathematicians like me study all possible spaces in all dimensions. Whether trying to design secure sensor networks, mine data or use origami to deploy ...

In 2008, the terms 'topology' or 'topological' appeared in the title or abstract of nearly 1,500 papers in the mathematical literature — and in almost that many chemistry articles. In the ...

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 ...

A study co-authored by Filippo Radicchi at Indiana University proposed a theoretical framework specifically designed for understanding complex higher-order networks. The work could lead to ...

Chemical Topology Although molecular rings are quite familiar, it has only recently been demonstrated that two such rings can be linked. It may even be possible to synthesize molecules in the form ...

A logical topology is how devices appear connected to the user. A physical topology is how they are actually interconnected with wires and cables. For example, in a shared Ethernet network that ...

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 ...

Tuesday hosted the two-day national Workshop-Cum-Conference on Algebra, Analysis, Topology and Applications-2025 from March 3 ...