Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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A NOTE ON EXPANSIVE ℤk-ACTION AND GENERATORS

  • Shah, Ekta (Department of Mathematics Faculty of Science The Maharaja Sayajirao University of Baroda)
  • Received : 2018.08.28
  • Accepted : 2018.11.23
  • Published : 2019.10.31
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Abstract

We define the concept of a generator for a ${\mathbb{Z}}^k$-action T and show that T is expansive if and only it has a generator. Further, we prove several properties of a ${\mathbb{Z}}^k$-action including that the least upper bound of the set of expansive constants is not an expansive constant.

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References

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