Shape index and other indices of Conley type for local maps on locally compact Hausdorff spaces
Volume 145 / 1994
Fundamenta Mathematicae 145 (1994), 15-37
DOI: 10.4064/fm-145-1-15-37
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.
