Geodesic
Shape index and other indices of Conley type for local maps on locally compact Hausdorff spaces
Fundamenta Mathematicae, Tome 145 (1994) no. 1, pp. 15-37.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/fm-145-1-15-37

Marian Mrozek  1

1 
@article{10_4064_fm_145_1_15_37,
     author = {Marian  Mrozek },
     title = {Shape index and other indices of {Conley} type for local maps on locally compact {Hausdorff} spaces},
     journal = {Fundamenta Mathematicae},
     pages = {15--37},
     publisher = {mathdoc},
     volume = {145},
     number = {1},
     year = {1994},
     doi = {10.4064/fm-145-1-15-37},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/fm-145-1-15-37/}
}
TY  - JOUR
AU  - Marian  Mrozek 
TI  - Shape index and other indices of Conley type for local maps on locally compact Hausdorff spaces
JO  - Fundamenta Mathematicae
PY  - 1994
SP  - 15
EP  - 37
VL  - 145
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/fm-145-1-15-37/
DO  - 10.4064/fm-145-1-15-37
LA  - en
ID  - 10_4064_fm_145_1_15_37
ER  - 
%0 Journal Article
%A Marian  Mrozek 
%T Shape index and other indices of Conley type for local maps on locally compact Hausdorff spaces
%J Fundamenta Mathematicae
%D 1994
%P 15-37
%V 145
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/fm-145-1-15-37/
%R 10.4064/fm-145-1-15-37
%G en
%F 10_4064_fm_145_1_15_37
Marian  Mrozek . Shape index and other indices of Conley type for local maps on locally compact Hausdorff spaces. Fundamenta Mathematicae, Tome 145 (1994) no. 1, pp. 15-37. doi : 10.4064/fm-145-1-15-37. http://geodesic.mathdoc.fr/articles/10.4064/fm-145-1-15-37/

Cité par Sources :