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 Glossary
 

 

 

  

Glossary
   
For the description of the underlying principles concerning HyperView I introduced some terms in order to simplify notation; also, some readers might not be entirely used to the mathematical terms involved, which is why I decided to provide a short description for most of them and maybe a link (indicated by an arrow) to more detailed explanations. It is by no means meant to be complete (especially not at the moment, while the page is still under development). However, if you feel something is missing, write me a mail, so that I can correct it. Terms that I invented are marked as "non-official"

2-circle
 		Non-official term. I use it to refer to any circle on S2, obtained for example as the intersection of S2 with a plane.
3-circle
 		Non-official term. 4-dimensional counterpart to a 2-circle, i.e. any circle on S3 (intersection of S3 with a plane).
Hopf map
 		A continuous surjective map from S3 to S2. It is used to partition the hypersphere into subsets (see → here)
hypersphere
 		An informal name for S3
S2
 		The ordinary 3-dimensional unit sphere.
S3
 		The 4-dimensional unit sphere.
stereographic projection
 		A bijective map from any kind of sphere (minus one point, to be precise) in Rn to Rn-1. In our case 4-dimensional stereographic projection is needed which is explained → here
   
 

 

 
 
     

   © 2003 by Maximilian Albert •  Anhalter42@gmx.de