Английская Википедия:Discontinuous group

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Шаблон:Short description A discontinuous group is a mathematical concept relating to mappings in topological space.

Definition

Let <math>T</math> be a topological space of points <math>\tau</math>, and let <math>\tau\to f(\tau,x)</math>, <math>x\in G</math>, be an open continuous representation of the topological group <math>G</math> as a transitive group of homeomorphic mappings of <math>T</math> on itself. The representation <math>\tau\to f(\tau,a)</math> <math>a\in H</math> of the discrete subgroup <math>H\sub G</math> in <math>T</math> is called discontinuous, if no sequence <math>f(\tau,a_n)</math> (<math>n=1,2,\ldots</math>) converges to a point in <math>T</math>, as <math>a_n</math> runs over distinct elements of <math>H</math>.

References

Шаблон:Math-stub