| 书目名称 | Topology of Infinite-Dimensional Manifolds | | 编辑 | Katsuro Sakai | | 视频video | | | 概述 | Provides knowledge of fundamental results containing characterizations of various infinite-dimensional manifolds.Contains details of most proofs so that graduate students in topology need to make only | | 丛书名称 | Springer Monographs in Mathematics | | 图书封面 |  | | 描述 | .An infinite-dimensional manifold is a topological manifold modeled on some infinite-dimensional homogeneous space called a model space. In this book, the following spaces are considered model spaces: Hilbert space (or non-separable Hilbert spaces), the Hilbert cube, dense subspaces of Hilbert spaces being universal spaces for absolute Borel spaces, 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 bounded weak-star topology)...This book is designed for graduate students to acquire knowledge of fundamental results on infinite-dimensional manifolds and their characterizations. To read and understand this book, some background is required even for senior graduate students in topology, but that background knowledge is minimized and is listed in the first chapter so that references can easily be found. Almost all necessary background information is found in .Geometric Aspects of General Topology,. the author‘s first book...Many kinds of hyperspaces and function spaces are investigated in various branches of mathematics, which are mostly infinite-dimensional. Among them, ma | | 出版日期 | Book 2020 | | 关键词 | Hilbert manifold (not necessary separable); Hilbert cube manifold; Absorbing sets for absolute Borel c | | 版次 | 1 | | doi | https://doi.org/10.1007/978-981-15-7575-4 | | isbn_softcover | 978-981-15-7577-8 | | isbn_ebook | 978-981-15-7575-4Series ISSN 1439-7382 Series E-ISSN 2196-9922 | | issn_series | 1439-7382 | | copyright | Springer Nature Singapore Pte Ltd. 2020 |
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发表于 2025-3-21 16:53:15
