On the uniqueness of the fixed point index on differentiable manifolds

Furi, Massimo; Pera, Maria Patrizia; Spadini, Marco

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.

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Titolo:	On the uniqueness of the fixed point index on differentiable manifolds
Autori di Ateneo:	FURI, MASSIMO PERA, MARIA PATRIZIA SPADINI, MARCO
Autori:	FURI, MASSIMO; PERA, MARIA PATRIZIA; SPADINI, MARCO
Data di pubblicazione:	2004
Rivista:	FIXED POINT THEORY AND APPLICATIONS
Volume:	4
Pagina iniziale:	251
Pagina finale:	259
Abstract:	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.
Handle:	http://hdl.handle.net/2158/16329
Appare nelle tipologie:	1a - Articolo su rivista

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http://hdl.handle.net/2158/16329

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