NDLI: On the Two Definitions of the Conley Index

Content Provider	Scilit
Author	Kurland, Henry L.
Copyright Year	1989
Description	The two definitions of the homotopy equivalences between Conley index spaces of an isolated invariant set, the original one of Conley [C] as completed by the author in [K1] and the more recent definition of Salamon [S], are shown to define the same homotopy classes without reference to the difficult proof of [K1] showing the Conley index to be a connected simple system. The equivalences of the original definition are useful in describing certain geometric situations in terms of the index; examples are given.
Related Links	https://www.ams.org/proc/1989-106-04/S0002-9939-1989-0982405-9/S0002-9939-1989-0982405-9.pdf
Ending Page	1130
Page Count	14
Starting Page	1117
ISSN	00029939
e-ISSN	10886826
DOI	10.2307/2047302
Journal	Proceedings of the American Mathematical Society
Issue Number	4
Volume Number	106
Language	English
Publisher	Duke University Press
Publisher Date	1989-08-01
Access Restriction	Open
Subject Keyword	Logic Mathematical Physics Two Definitions Conley Index Homotopy Equivalences Geometric Invariant Salamon
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics

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On the Two Definitions of the Conley Index