K-theory provides a robust algebraic framework for classifying vector bundles and operator algebras, and it has emerged as an indispensable tool in the study of geometric phenomena such as positive ...

The universe's geometry can be classified as flat, closed (positive curvature), or open (negative curvature), determined by its density and expansion rate. Current cosmological models, primarily the ...

The researchers discovered that this separation proves remarkably clean. In a preprint paper released in late October, they ...

In an old Indian parable, six blind men each touch a different part of an elephant. They disagree about what the elephant must look like: Is it smooth or rough? Is it like a snake (so thinks the man ...

The spine, or backbone, is made up of small bones (vertebrae) stacked -- along with discs -- one on top of another. A healthy spine, when viewed from the side, has gentle curves to it. The curves help ...

A March 9 Facebook post (direct link, archive link) features an image of the Earth taken from outer space. “The first ‘photo’ of the curvature was published on April Fools Day,” reads the text in the ...

What if a model could forget without losing its mind?” That question now has a technical foothold, thanks to new research ...