Mathematicians Marvel at ‘Crazy’ Cuts Through Four Dimensions
Topologists prove two new results that bring some order to the confoundingly difficult study of four-dimensional shapes. The post Mathematicians Marvel at ‘Crazy’ Cuts Through Four Dimensions first appeared on Quanta Magazine
The central objects of study in topology are spaces called manifolds, which look flat when you zoom in on them. The surface of a sphere, for instance, is a two-dimensional manifold. Topologists understand such two-dimensional manifolds very well. And they have developed tools that let them make sense of three-dimensional manifolds and those with five or more dimensions. But in four dimensions...
Originally published in Quanta Abstractions.
