protorus

{{short description|Mathematical object}}

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

  • {{Citation | last1=Hofmann | first1=Karl H. | last2=Morris | first2=Sidney A. | title=The structure of compact groups | url=https://books.google.com/books?id=pOi60a0Th4kC | publisher=Walter de Gruyter & Co. | location=Berlin | edition=2nd | series=de Gruyter Studies in Mathematics | isbn=978-3-11-019006-9 | mr=2261490 | year=2006 | volume=25}}

Category:Topological groups

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