Shape index and other indices of Conley type for local maps on locally compact Hausdorff spaces
Mrozek, Marian
Fundamenta Mathematicae, Tome 144 (1994), p. 15-37 / Harvested from The Polish Digital Mathematics Library
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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.

Publié le : 1994-01-01
EUDML-ID : urn:eudml:doc:212031 
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     author = {Marian Mrozek},
     title = {Shape index and other indices of Conley type for local maps on locally compact Hausdorff spaces},
     journal = {Fundamenta Mathematicae},
     volume = {144},
     year = {1994},
     pages = {15-37},
     zbl = {0870.54043},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-fmv145i1p15bwm}
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Mrozek, Marian. Shape index and other indices of Conley type for local maps on locally compact Hausdorff spaces. Fundamenta Mathematicae, Tome 144 (1994) pp. 15-37. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-fmv145i1p15bwm/

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