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

• Autorzy: Marian Mrozek
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 54H20: Topological dynamics

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 1994
• Tom: 145
• Numer: 1
• Strony: 15-37

Daty

wydano

1994

otrzymano

1992-11-11

Twórcy

autor

Marian Mrozek

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

Bibliografia

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