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Polyfold and Fredholm Theory

Produktform: E-Buch Text Elektronisches Buch in proprietärem

This book pioneers a nonlinear Fredholm theory in a general class of spaces called polyfolds. The theory generalizes certain aspects of nonlinear analysis and differential geometry, and combines them with a pinch of category theory to incorporate local symmetries. On the differential geometrical side, the book introduces a large class of `smooth’ spaces and bundles which can have locally varying dimensions (finite or infinite-dimensional). These bundles come with an important class of sections, which display properties reminiscent of classical nonlinear Fredholm theory and allow for implicit function theorems. Within this nonlinear analysis framework, a versatile transversality and perturbation theory is developed to also cover equivariant settings. weiterlesen

Elektronisches Format: PDF

Sprache(n): Englisch

ISBN: 978-3-030-78007-4 / 978-3030780074 / 9783030780074

Verlag: Springer International Publishing

Erscheinungsdatum: 21.07.2021

Seiten: 1001

Autor(en): Helmut Hofer, Eduard Zehnder, Krzysztof Wysocki

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