Topological Groups and Related Structures PDF
By:A. V. Arkhangelʹskiĭ,Mikhail Tkachenko
Published on 2008 by atlantis press
This book presents a large amount of material, both classic and recent (on occasion, unpublished) about the relations of Algebra and Topology. It therefore belongs to the area called Topological Algebra. More specifically, the objects of the study are subtle and sometimes unexpected phenomena that occur when the continuity meets and properly feeds an algebraic operation. Such a combination gives rise to many classic structures, including topological groups and semigroups, paratopological groups, etc. Special emphasis is given to tracing the influence of compactness and its generalizations on the properties of an algebraic operation, causing on occasion the automatic continuity of the operation. The main scope of the book, however, is outside of the locally compact structures, thus distinguishing the monograph from a series of more traditional textbooks.The book is unique in that it presents very important material, dispersed in hundreds of research articles, not covered by any monograph in existence. The reader is gently introduced to an amazing world at the interface of Algebra, Topology, and Set Theory. He/she will find that the way to the frontier of the knowledge is quite short — almost every section of the book contains several intriguing open problems whose solutions can contribute significantly to the area.
This Book was ranked at 28 by Google Books for keyword Structures.
Book ID of Topological Groups and Related Structures's Books is B785AETmFKEC, Book which was written byA. V. Arkhangelʹskiĭ,Mikhail Tkachenkohave ETAG "/Zuq7kOSulk"
Book which was published by atlantis press since 2008 have ISBNs, ISBN 13 Code is 9789078677062 and ISBN 10 Code is 9078677066
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Book which have "781 Pages" is Printed at BOOK under CategoryMathematics
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