One is about its geometry: the fine-grained local measurements of things like angles and areas. The other is about its topology: how these local pieces are stitched together into an overarching shape.

Completely independent of questions of topology, the geometry of a given cosmological solution raises another issue that is often mixed up with those of geometry and topology. Suppose that the ...

Geometry, Algebra, and Topology are pure mathematics and essential to modern mathematical research. In the MAST programme, we study topics such as Riemannian geometry, algebraic topology, and ...

In 2022, Doster, Emerson, and PNNL data scientist colleague Henry Kvinge co-founded the Topology, Algebra, and Geometry in Data Science (TAG-DS) community to help spur interest in the application ...

Sometimes referred to as "rubber sheet geometry", topology in physics remains in the theoretical and experimental realm for now. But its principles are widely expected to find practical and ...

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 ...

But if you take the task seriously, there’s a lot more to it. In fact, one of the largest subdisciplines in mathematics — topology — is devoted exactly to this kind of endeavor, and after centuries of ...

Here’s how it works. Topology is a branch of mathematics that describes mathematical spaces, in particular the properties that stem from a space’s shape. Many of the shapes topologists deal ...

The geometry and topology group at UB is traditionally strong in research and mentoring. Our faculty work in the areas of algebraic topology, complex geometry, differential geometry, geometric group ...