Publication: Axiomatization of the degree of Fitzpatrick, Pejsachowicz and Rabier
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In this paper, we prove an analogue of the uniqueness theorems of Führer  and Amann and Weiss  to cover the degree of Fredholm operators of index zero constructed by Fitzpatrick, Pejsachowicz and Rabier , whose range of applicability is substantially wider than for the most classical degrees of Brouwer  and Leray–Schauder . A crucial step towards the axiomatization of this degree is provided by the generalized algebraic multiplicity of Esquinas and López-Gómez [8, 9, 25], χ, and the axiomatization theorem of Mora-Corral [28, 32]. The latest result facilitates the axiomatization of the parity of Fitzpatrick and Pejsachowicz , σ(⋅,[a,b]), which provides the key step for establishing the uniqueness of the degree for Fredholm maps.
CRUE-CSIC (Acuerdos Transformativos 2021)