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ArticleOriginal scientific text

Title

Shape index and other indices of Conley type for local maps on locally compact Hausdorff spaces

Authors 1, 2

Affiliations

  1. Center for Dynamical Systems and Nonlinear Studies, School of Mathematics, Georgia Institute of Technology, Atlanta, Georgia 30332-0001, U.S.A.
  2. Computer Science Department, Jagiellonian University, Nawojki 11, 30-072 Kraków, Poland

Abstract

We present a scheme for constructing various Conley indices for locally defined maps. In particular, we extend the shape index of Robbin and Salamon to the case of a locally defined map in a locally compact Hausdorff space. We compare the shape index with the cohomological Conley index for maps. We also prove the commutativity property of the Conley index, which is analogous to the commutativity property of the fixed point index.

Bibliography

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Additional information

http://matwbn.icm.edu.pl/ksiazki/fm/fm145/fm14512.pdf

Fundamenta Mathematicae
1994/145/1
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Pages:
15-37
Main language of publication
English
Received
1992-11-11
Published
1994
Exact and natural sciences