On the concept of orientability for Fredholm maps between real Banach manifolds

Pierluigi Benevieri, Massimo Furi

DOI: http://dx.doi.org/10.12775/TMNA.2000.042

Abstract


In
[< i> A simple notion of orientability for Fredholm maps of
index zero between Banach manifolds and degree< /i> , Ann. Sci. Math. Québec < b> 22< /b> (1998),
131–148] we introduced a concept of orientation and topological
degree for nonlinear Fredholm maps between real Banach manifolds.
In this paper we study properties of this notion of orientation and we
compare it with related results due to Elworthy-Tromba and
Fitzpatrick-Pejsachowicz-Rabier.

Keywords


Nonlinear Fredholm maps; Banach manifolds; orientability

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