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A special version of the Schwarz lemma on an infinite dimensional domain

Tatsuhiro Honda (1997)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

Let B be the open unit ball of a Banach space E , and let f : B B be a holomorphic map with f 0 = 0 . In this paper, we discuss a condition whereby f is a linear isometry on E .

A supplement to the Iomdin-Lê theorem for singularities with one-dimensional singular locus

Mihai Tibăr (1996)

Banach Center Publications

To a germ f : ( n , 0 ) ( , 0 ) with one-dimensional singular locus one associates series of isolated singularities f N : = f + l N , where l is a general linear function and N . We prove an attaching result of Iomdin-Lê type which compares the homotopy types of the Milnor fibres of f N and f. This is a refinement of the Iomdin-Lê theorem in the general setting of a singular underlying space.

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