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Topological simplicity of the Cremona groups
Published 28 Nov 2015 in math.AG, math.GN, and math.GR | (1511.08907v1)
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 moreover always connected by an affine line, so the group is path-connected.
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