We give two versions of the Leray Product Formula for the oriented degree for Fredholm maps of index zero recently introduced by the first two authors. As a consequence, we obtain a simplified proof of the generalized Jordan-Brouwer Separation Theorem due to Leray and an analogous version in Banach manifolds.
On the Product Formula for the Oriented Degree for Fredholm Maps of Index Zero between Banach Manifolds / P. Benevieri; M. Furi; M.P. Pera. - In: NONLINEAR ANALYSIS. - ISSN 0362-546X. - STAMPA. - 48:(2002), pp. 853-867. [10.1016/S0362-546X(00)00219-4]
On the Product Formula for the Oriented Degree for Fredholm Maps of Index Zero between Banach Manifolds
BENEVIERI, PIERLUIGI;FURI, MASSIMO;PERA, MARIA PATRIZIA
2002
Abstract
We give two versions of the Leray Product Formula for the oriented degree for Fredholm maps of index zero recently introduced by the first two authors. As a consequence, we obtain a simplified proof of the generalized Jordan-Brouwer Separation Theorem due to Leray and an analogous version in Banach manifolds.
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