科研之友
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摘要
Given a relatively prime pair of integers, n >= m > 1, there is associated a topological dynamical system which we refer to as an n / m-solenoid. It is also a Smale space, as defined by David Ruelle, meaning that it has local coordinates of contracting and expanding directions. In this case, these are locally products of the real and various p-adic numbers. In the special case, m = 2; n = 3 and for n > 3m, we construct Markov partitions for such systems. The second author has developed a homology theory for Smale spaces and we compute this in these examples, using the given Markov partitions, for all values of n >= m > 1 and relatively prime.
- 出版日期2017-5
