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Topological simplicity of the Cremona groups
- American Journal of Mathematics
- Johns Hopkins University Press
- Volume 140, Number 5, October 2018
- pp. 1297-1309
- 10.1353/ajm.2018.0032
- Article
- Additional Information
abstract:
The Cremona group is topologically simple when endowed with the Zariski or Euclidean topology, in any dimension $\ge 2$ and over any infinite field. Two elements are always connected by an affine line, so the group is path-connected.