(adsbygoogle = window.adsbygoogle || []).push({}); Riemann "sphere" in infinite dimensional space?

I was just reading about the Riemann sphere, in 3-space and find it very interesting. With it you assign a point on the sphere to every location in the xy-plane. Then I thought, in 4-space you would be able to assign every point in 3-space to a point on the 4-dimensional Riemann "sphere".

Is there any such thing in infinite dimensional space? That would be pretty cool!

**Physics Forums - The Fusion of Science and Community**

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Riemann sphere in infinite dimensional space?

Loading...

Similar Threads - Riemann sphere infinite | Date |
---|---|

Rotations of 3-spheres | Oct 28, 2015 |

I'm trying to write a program that plots the riemann zeta function | Mar 26, 2013 |

About interesting convergence of Riemann Zeta Function | Dec 13, 2012 |

Riemann's zeta function fractal because of Voronin? | Dec 12, 2012 |

Cauchy-Riemann equation | Nov 2, 2012 |

**Physics Forums - The Fusion of Science and Community**