This paper tries to establish a link between topological and algebraic methods in nonlinear analysis showing how the topological degree for Fredholm operators of index zero of Fitzpatrick et al. (1994) can be determined from the generalized algebraic multiplicity of Esquinas and López-Gómez (1988, 2001), in the same vein as the Leray–Schauder degree can be calculated from the Schauder formula through the classical algebraic multiplicity.

中文翻译：

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Fredholm算子的代数多重性和拓扑度

本文试图在非线性分析中建立拓扑方法和代数方法之间的联系，以显示Fitzpatrick等人的零索引Fredholm算子的拓扑度。（1994）可以从Esquinas和López-Gómez（1988，2001）的广义代数多重性确定，与Leray–Schauder度可以通过Schauder公式通过经典的代数多重性计算得出。