In mathematics, a protorus is a compact connected topological abelian group. Equivalently, it is a projective limit of tori (products of a finite number of copies of the circle group), or the Pontryagin dual of a discrete torsion-free abelian group.

Some examples of protori are given by solenoid groups.

See also

References

  • Hofmann, Karl H. & Morris, Sidney A. (2006), The structure of compact groups, Vol. 25, de Gruyter Studies in Mathematics, 2nd ed., Berlin: Walter de Gruyter & Co., ISBN 978-3-11-019006-9. MR 2261490