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Horseshoes and the Conley index spectrum

Published online by Cambridge University Press:  01 April 2000

MARIA C. CARBINATTO ,
JAROSLAW KWAPISZ  and
KONSTANTIN MISCHAIKOW
MARIA C. CARBINATTO
Affiliation:
Center for Dynamical Systems and Nonlinear Studies, School of Mathematics, Georgia Institute of Technology, Atlanta, GA 30332, USA (e-mail: mcarbina@math.gatech.edu, mischaik@math.gatech.edu)
JAROSLAW KWAPISZ
Affiliation:
Center for Dynamical Systems and Nonlinear Studies, School of Mathematics, Georgia Institute of Technology, Atlanta, GA 30332, USA (e-mail: mcarbina@math.gatech.edu, mischaik@math.gatech.edu) Current address: Department of Mathematical Sciences, Montana State University, Bozeman, MT 59717, USA. (e-mail: jarek@math.montana.edu)
KONSTANTIN MISCHAIKOW
Affiliation:
Center for Dynamical Systems and Nonlinear Studies, School of Mathematics, Georgia Institute of Technology, Atlanta, GA 30332, USA (e-mail: mcarbina@math.gatech.edu, mischaik@math.gatech.edu)
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Abstract

Given a continuous map on a locally compact metric space and an isolating neighborhood which is decomposed into two disjoint isolating neighborhoods, it is shown that the spectral information of the associated Conley indices is sufficient to conclude the existence of a semi-conjugacy onto the full shift dynamics on two symbols.

Information

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 20 , Issue 2 , April 2000 , pp. 365 - 377
Copyright
© 2000 Cambridge University Press

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