Invariants of twist-wise flow equivalence
Author:
Michael C. Sullivan
Journal:
Electron. Res. Announc. Amer. Math. Soc. 3 (1997), 126-130
MSC (1991):
Primary 58F25, 58F13; Secondary 58F20, 58F03
DOI:
https://doi.org/10.1090/S1079-6762-97-00037-1
Published electronically:
December 17, 1997
MathSciNet review:
1487203
Full-text PDF Free Access
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Abstract: Twist-wise flow equivalence is a natural generalization of flow equivalence that takes account of twisting in the local stable manifold of the orbits of a flow. Here we announce the discovery of two new invariants in this category.
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- Michael C. Sullivan, Invariants of twist-wise flow equivalence, Preprint on http://nkrs465.math.siu.edu/$\sim$mike/Preprints.
- R. Bowen and J. Franks, Homology for zero-dimensional nonwandering sets, Ann. of Math. 106 (1977), 73–92.
- J. Franks, Flow equivalence of subshifts of finite type, Ergod. Th. Dynam. Sys. 4 (1984), 53–66.
- D. Huang, Flow equivalence of reducible shifts of finite type, Ergod. Th. Dynam. Sys. 14 (1994), 695–720.
- D. Huang, Flow equivalence of reducible shifts of finite type and Cuntz-Krieger algebras, J. Reine Angew. Math. 462 (1995), 185–217.
- D. Huang, Flow equivalence of reducible shifts of finite type and non-simple Cuntz-Krieger algebras II: Complete classifications, Preprint.
- Douglas Lind and Brian Marcus, An introduction to symbolic dynamics and coding, Cambridge University Press, 1995.
- M. Newman, Integral matrices, Academic Press, 1972.
- B. Parry and D. Sullivan, A topological invariant of flows on 1-dimensional spaces, Topology 14 (1975), 297–299.
- Michael C. Sullivan, An invariant for basic sets of Smale flows, To appear in Ergod. Th. Dynam. Sys., Preprint on http://nkrs465.math.siu.edu/$\sim$mike/Preprints.
- Michael C. Sullivan, Invariants of twist-wise flow equivalence, Preprint on http://nkrs465.math.siu.edu/$\sim$mike/Preprints.
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Additional Information
Michael C. Sullivan
Affiliation:
Department of Mathematics (4408), Southern Illinois University, Carbondale, IL 62901
Email:
msulliva@math.siu.edu
Keywords:
Dynamical systems,
flows,
subshifts of finite type
Received by editor(s):
June 18, 1997
Received by editor(s) in revised form:
October 4, 1997
Published electronically:
December 17, 1997
Communicated by:
Jeff Xia
Article copyright:
© Copyright 1997
American Mathematical Society
