書(shū)目名稱 | Relational Topology | 編輯 | Gunther Schmidt,Michael Winter | 視頻video | http://file.papertrans.cn/827/826113/826113.mp4 | 概述 | Introduces and develops an algebraic treatment of Boolean matrices.Applies the methods to give an algebraic treatment of point set topology.Offers a framework for handling topological problems using t | 叢書(shū)名稱 | Lecture Notes in Mathematics | 圖書(shū)封面 |  | 描述 | .This book introduces and develops new algebraic methods to work with relations, often conceived as Boolean matrices, and applies them to topology. Although these objects mirror the matrices that appear throughout mathematics, numerics, statistics, engineering, and elsewhere, the methods used to work with them are much less well known. In addition to their purely topological applications, the volume also details how the techniques may be successfully applied to spatial reasoning and to logics of computer science.. .Topologists will find several familiar concepts presented in a concise and algebraically manipulable form which is far more condensed than usual, but visualized via represented relations and thus readily graspable. This approach also offers the possibility of handling topological problems using proof assistants.. | 出版日期 | Book 2018 | 關(guān)鍵詞 | Relational Mathematics; Algebraic Topology; Spatial Reasoning; Kronecker Product of Relations; Frames in | 版次 | 1 | doi | https://doi.org/10.1007/978-3-319-74451-3 | isbn_softcover | 978-3-319-74450-6 | isbn_ebook | 978-3-319-74451-3Series ISSN 0075-8434 Series E-ISSN 1617-9692 | issn_series | 0075-8434 | copyright | Springer International Publishing AG, part of Springer Nature 2018 |
The information of publication is updating
|
|