Poincaré's cube manifolds
In this article we describe an important class of 3-manifolds studied by Poincaré in his papers on analysis situs (1892 – 1904). They are constructed by identifying the sides of a cube in more or less complicated ways and are therefore called here “cube manifolds”. This idea goes back to Poincarés work on autormorphic functions (early 1880's).
cube manifold, history of topology
Primary: 01A55, 01A60
|Received:||11th November 2012|
|Accepted:||12th February 2013|
|Published:||13th May 2013|