On the uniqueness of the fixed point index on differentiable manifolds

Autor: Furi Massimo, Pera Maria Patrizia, Spadini Marco
Jazyk: angličtina
Rok vydání: 2004
Předmět:
Zdroj: Fixed Point Theory and Applications, Vol 2004, Iss 4, p 478686 (2004)
Druh dokumentu: article
ISSN: 1687-1820
1687-1812
Popis: It is well known that some of the properties enjoyed by the fixed point index can be chosen as axioms, the choice depending on the class of maps and spaces considered. In the context of finite-dimensional real differentiable manifolds, we will provide a simple proof that the fixed point index is uniquely determined by the properties of normalization, additivity, and homotopy invariance.
Databáze: Directory of Open Access Journals