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Springer Topology of Infinite-Dimensional Manifolds Book

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Description

Expand your knowledge of mathematical analysis with Topology of Infinite-Dimensional Manifolds from the Springer Monographs in Mathematics series. This specialized text explores infinite-dimensional manifolds modeled on various model spaces. Readers will examine Hilbert spaces, including non-separable Hilbert spaces, the Hilbert cube, and dense subspaces of Hilbert spaces that serve as universal spaces for absolute Borel spaces. The book also covers the direct limit of Euclidean spaces and the direct limit of Hilbert cubes, which is homeomorphic to the dual of a separable infinite-dimensional Banach space with a bounded weak-star topology. Designed specifically for graduate students, this Springer publication provides the theoretical foundations necessary to master these complex mathematical structures within the field of functional analysis.

Key Features

This Springer monograph provides a detailed study of infinite-dimensional manifolds modeled on specific homogeneous model spaces.

The text covers essential mathematical concepts including Hilbert spaces and non-separable Hilbert spaces.

Graduate students can study the Hilbert cube and dense subspaces of Hilbert spaces used as universal spaces for absolute Borel spaces.

The content includes analysis of the direct limit of Euclidean spaces and the direct limit of Hilbert cubes.

This book serves as a technical resource for those studying functional analysis and mathematical topology.

Product Specifications

Format
hardcover
Domain
Amazon UK
Release Date
22 November 2020
Listed Since
09 July 2020

Barcode

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