4 ms·
What's the conceptual difference between this and the hairy ball theorem?
by dataflow 3y ago
What's the conceptual difference between this and the hairy ball theorem?
- hgsgm 3y agoLoosely, Hairy ball theorem is about the derivative of a mapping at a single point in time. (Imagine slowly deforming/mixing the input configuration t to obtain the output configuration. Brouwer's theorem can be thought of as being about the integral of a continuous family of hairy balls over a time interval. It's not exactly the same because the assumptions about differentiability are different.
- dataflow 3y agoInteresting, thanks!