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TOPOLOGICAL GROUPS AND RELATED STRUCTURES: An Introduction to Topological Algebra (Atlantis Studies in Mathematics)

*- hardcover*

ISBN: 9078677066

[SR: 4199647], Hardcover, [EAN: 9789078677062], Atlantis Press, Atlantis Press, Book, [PU: Atlantis Press], Atlantis Press, This book presents a large amount of material, both classic and recent (on occasion, unpublished) about the relations of Algebra and Topology.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. Contents: Introduction to Topological Groups and Semigroups; Right Topological and Semitopological Groups; Topological Groups: Basic Constructions; Some Special Classes of Topological Groups; Cardinal Invariants of Topological Groups; Moscow Topological Groups and Completions of Groups; Free Topological Groups; R-Factorizable Topological Groups; Compactness and its Generalizations in Topological Groups; Actions of Topological Groups on Topological Spaces., 13987, Topology, 226700, Geometry & Topology, 13884, Mathematics, 75, Science & Math, 1000, Subjects, 283155, Books, 468218, Mathematics, 491542, Algebra & Trigonometry, 491544, Calculus, 491546, Geometry, 491548, Statistics, 468216, Science & Mathematics, 465600, New, Used & Rental Textbooks, 2349030011, Specialty Boutique, 283155, Books

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ISBN: 9789078677062

Hardback, [PU: 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 â€” almost every section of the book contains several intriguing open problems whose solutions can contribute significantly to the area., Topology

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ISBN: 9078677066

[SR: 2904902], Gebundene Ausgabe, [EAN: 9789078677062], Atlantis Studies in Mathematic, Atlantis Studies in Mathematic, Book, [PU: Atlantis Studies in Mathematic], Atlantis Studies in Mathematic, 56263011, Geometrie & Topologie, 56214011, Mathematik, 56047011, Wissenschaft, 54071011, Genres, 52044011, Fremdsprachige Bücher

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ISBN: 9789078677062

ID: 9789078677062

Topological Groups and Related Structures Topological-Groups-and-Related-Structures~~Alexander-Arhangelskii Science>Mathematics>Mathematics Hardcover, Atlantis Press / World Scientific

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2008, ISBN: 9078677066

Hardcover, ID: 22667832010

[EAN: 9789078677062], Neubuch, [PU: Atlantis Press]

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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.

**Contents:** Introduction to Topological Groups and Semigroups; Right Topological and Semitopological Groups; Topological Groups: Basic Constructions; Some Special Classes of Topological Groups; Cardinal Invariants of Topological Groups; Moscow Topological Groups and Completions of Groups; Free Topological Groups; R-Factorizable Topological Groups; Compactness and its Generalizations in Topological Groups; Actions of Topological Groups on Topological Spaces.

** Details of the book - Topological Groups and Realated Structures**

EAN (ISBN-13): 9789078677062

ISBN (ISBN-10): 9078677066

Hardcover

Publishing year: 2008

Publisher: WORLD SCIENTIFIC PUB CO (

781 Pages

Weight: 1,446 kg

Language: eng/Englisch

Book in our database since 23.02.2008 21:53:30

Book found last time on 25.11.2018 19:12:14

ISBN/EAN: 9789078677062

ISBN - alternate spelling:

90-78677-06-6, 978-90-78677-06-2

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