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Springer Polyfold and Fredholm Theory - Mathematics Book

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Description

Expand your understanding of nonlinear analysis with Polyfold and Fredholm Theory by Springer. This text introduces a pioneering nonlinear Fredholm theory within a general class of spaces known as polyfolds. By combining aspects of differential geometry and nonlinear analysis with category theory, the book provides a framework to incorporate local symmetries. The content introduces a wide class of smooth spaces and bundles that can feature locally varying dimensions, whether finite or infinite-dimensional. These bundles include an important class of sections that display properties similar to classical nonlinear Fredholm theory. This work is an essential resource for those studying functional analysis and advanced mathematical structures within the Ergebnisse der Mathematik und ihrer Grenzgebiete series.

Key Features

This Springer publication introduces a pioneering nonlinear Fredholm theory designed for the general class of spaces called polyfolds.

The text integrates differential geometry and nonlinear analysis with category theory to account for local symmetries.

Readers will explore a large class of smooth spaces and bundles that can possess locally varying finite or infinite dimensions.

The book details an important class of sections that demonstrate properties similar to classical nonlinear Fredholm theory.

Part of the Ergebnisse der Mathematik und ihrer Grenzgebiete series, this volume serves as a specialized resource for mathematical analysis.

Product Specifications

Format
hardcover
Domain
Amazon UK
Release Date
22 July 2021
Listed Since
15 August 2020

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