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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.

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  • プロトーラス
  • Protorus
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  • 数学において、プロトーラス(英: protorus; 射トーラス)とはコンパクトな連結位相アーベル群のことを言う。または同値であるが、トーラス(円周群の有限個の直積位相群)の射影極限、あるいは捩れのない離散アーベル群のポントリャーギン双対でもある。 プロトーラスのいくつかの例は、管状群によって与えられる。
  • 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.
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  • 数学において、プロトーラス(英: protorus; 射トーラス)とはコンパクトな連結位相アーベル群のことを言う。または同値であるが、トーラス(円周群の有限個の直積位相群)の射影極限、あるいは捩れのない離散アーベル群のポントリャーギン双対でもある。 プロトーラスのいくつかの例は、管状群によって与えられる。
  • 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.
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