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Field name	Details
Dewey Class	512.2
Title	Topological Groups and Related Structures ([Ebook]) / by Alexander Arhangel’skii, Mikhail Tkachenko.
Author	Arhangel’skii, Alexander
Added Personal Name	Tkachenko, Mikhail
Other name(s)	SpringerLink (Online service)
Publication	Paris : Atlantis Press , 2008.
Physical Details	XIV, 781 pages : online resource.
Series	Atlantis Studies in Mathematics 1875-7634 ; ; 1
ISBN	9789491216350
Summary Note	This book presents a large amount of material, both classic and recent (on occasion, unpublished) about the relations of Algebra and Topology.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.:
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site	http://dx.doi.org/10.2991/978-94-91216-35-0
Links to Related Works	Subject References: Algebraic Topology . Group theory . Group Theory and Generalizations . Mathematics . Authors: Arhangel’skii, Alexander . author . Tkachenko, Mikhail . Corporate Authors: SpringerLink (Online service) . Series: Atlantis Studies in Mathematics . Classification: 512.2 . 512.2 (DDC 22) .

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Topological Groups and Related Structures

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