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作者 Schmidt, Gunther, 1939- author
書名 Relational topology / Gunther Schmidt, Michael Winter
出版項 Cham, Switzerland : Springer, [2018]
國際標準書號 9783319744506
book jacket
館藏地 索書號 處理狀態 OPAC 訊息 條碼
 數學所圖書室  QA611 S3246 2018    在架上    30340200558363
說明 xiv, 191 pages : illustrations (some color) ; 24 cm
text txt rdacontent
unmediated n rdamedia
volume nc rdacarrier
University and college faculty members lcdgt
系列 Lecture notes in mathematics, 0075-8434 ; 2208
Lecture notes in mathematics (Springer-Verlag) ; 2208
附註 Includes bibliographical references and index
Introduction -- Prerequisites -- Products of relations -- Meet and join as relations -- Applying relations in topology -- Construction of topologies -- Closures and their Aumann contacts -- Proximity and nearness -- Frames -- Simplicial complexes
"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"--Page 4 of cover
主題 Topology
Relation algebras
Boolean matrices
Alt Author Winter, Michael (Professor), author
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