Symbolic dynamics in flows on three-manifolds

John M Franks*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

8 Scopus citations


This article deals with the problem of what suspended subshifts of finite type can be realized as a basic set of a nonsingular Smale flow on three-dimensional manifolds. It is shown that any suspended subshift can be realized in such a flow on some three-manifold. Also if signs reflecting orientation are included in the matrix of the subshift of finite type then there is an obstruction to the realization on 53 of basic sets corresponding to some matrices.

Original languageEnglish (US)
Pages (from-to)231-236
Number of pages6
JournalTransactions of the American Mathematical Society
Issue number1
StatePublished - Jan 1 1983

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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