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The Conley index for maps in absence of compactness

Published online by Cambridge University Press:  14 November 2011

Marco Degiovanni
Affiliation:
Università Cattolica del Sacro Cuore, Dipartimento di Matematica, Via Trieste 17, I-25121 Brescia, Italy
Marian Mrozek
Affiliation:
Uniwersytet Jagielloński, Katedra Informatyki, ul. Kopernika 27, PL-31-501 Kraków, Poland

Synopsis

We construct the Conley index for maps. We do not assume any compactness of map or space. We prove the Ważewski property, additivity property and continuation property.

Type
Research Article
Copyright
Copyright © Royal Society of Edinburgh 1993

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