Coarse Geometry of Topological Groups

· Cambridge Tracts in Mathematics 第 223 冊 · Cambridge University Press
電子書
309
頁數
評分和評論未經驗證 瞭解詳情

關於這本電子書

This book provides a general framework for doing geometric group theory for many non-locally-compact topological transformation groups that arise in mathematical practice, including homeomorphism and diffeomorphism groups of manifolds, isometry groups of separable metric spaces and automorphism groups of countable structures. Using Roe's framework of coarse structures and spaces, the author defines a natural coarse geometric structure on all topological groups. This structure is accessible to investigation, especially in the case of Polish groups, and often has an explicit description, generalising well-known structures in familiar cases including finitely generated discrete groups, compactly generated locally compact groups and Banach spaces. In most cases, the coarse geometric structure is metrisable and may even be refined to a canonical quasimetric structure on the group. The book contains many worked examples and sufficient introductory material to be accessible to beginning graduate students. An appendix outlines several open problems in this young and rich theory.

關於作者

Christian Rosendal is Professor of Mathematics at University of Illinois at Chicago. He received a Simons Fellowship in Mathematics in 2012 and is Fellow of the American Mathematical Society.

為這本電子書評分

請分享你的寶貴意見。

閱讀資訊

智能手機和平板電腦
請安裝 Android 版iPad/iPhone 版「Google Play 圖書」應用程式。這個應用程式會自動與你的帳戶保持同步,讓你隨時隨地上網或離線閱讀。
手提電腦和電腦
你可以使用電腦的網絡瀏覽器聆聽在 Google Play 上購買的有聲書。
電子書閱讀器及其他裝置
如要在 Kobo 等電子墨水裝置上閱覽書籍,你需要下載檔案並傳輸到你的裝置。請按照說明中心的詳細指示,將檔案傳輸到支援的電子書閱讀器。