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Encyclopedia of General Topology

2003-11-18 Mathematics
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Release : 2003-11-18
Genre : Mathematics
Kind : eBook
Book Rating : 869/5 ( reviews)

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Book Synopsis Encyclopedia of General Topology by : K.P. Hart

Download or read book Encyclopedia of General Topology written by K.P. Hart. This book was released on 2003-11-18. Available in PDF, EPUB and Kindle. Book excerpt: This book is designed for the reader who wants to get a general view of the terminology of General Topology with minimal time and effort. The reader, whom we assume to have only a rudimentary knowledge of set theory, algebra and analysis, will be able to find what they want if they will properly use the index. However, this book contains very few proofs and the reader who wants to study more systematically will find sufficiently many references in the book. Key features: • More terms from General Topology than any other book ever published• Short and informative articles• Authors include the majority of top researchers in the field• Extensive indexing of terms

Encyclopaedia of General Topology

2013 Topology
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Release : 2013
Genre : Topology
Kind : eBook
Book Rating : 740/5 ( reviews)

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Book Synopsis Encyclopaedia of General Topology by : Md. Mushtaque Khan

Download or read book Encyclopaedia of General Topology written by Md. Mushtaque Khan. This book was released on 2013. Available in PDF, EPUB and Kindle. Book excerpt:

General Topology I

2012-12-06 Mathematics
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Release : 2012-12-06
Genre : Mathematics
Kind : eBook
Book Rating : 652/5 ( reviews)

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Book Synopsis General Topology I by : A.V. Arkhangel'skii

Download or read book General Topology I written by A.V. Arkhangel'skii. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: This is the first of the encyclopaedia volumes devoted to general topology. It has two parts. The first outlines the basic concepts and constructions of general topology, including several topics which have not previously been covered in English language texts. The second part presents a survey of dimension theory, from the very beginnings to the most important recent developments. The principal ideas and methods are treated in detail, and the main results are provided with sketches of proofs. The authors have suceeded admirably in the difficult task of writing a book which will not only be accessible to the general scientist and the undergraduate, but will also appeal to the professional mathematician. The authors' efforts to detail the relationship between more specialized topics and the central themes of topology give the book a broad scholarly appeal which far transcends narrow disciplinary lines.

Topology I

2013-06-29 Mathematics
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Release : 2013-06-29
Genre : Mathematics
Kind : eBook
Book Rating : 799/5 ( reviews)

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Book Synopsis Topology I by : S.P. Novikov

Download or read book Topology I written by S.P. Novikov. This book was released on 2013-06-29. Available in PDF, EPUB and Kindle. Book excerpt: This up-to-date survey of the whole field of topology is the flagship of the topology subseries of the Encyclopaedia. The book gives an overview of various subfields, beginning with the elements and proceeding right up to the present frontiers of research.

General Topology

2017-03-17 Mathematics
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Release : 2017-03-17
Genre : Mathematics
Kind : eBook
Book Rating : 447/5 ( reviews)

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Book Synopsis General Topology by : John L. Kelley

Download or read book General Topology written by John L. Kelley. This book was released on 2017-03-17. Available in PDF, EPUB and Kindle. Book excerpt: "The clarity of the author's thought and the carefulness of his exposition make reading this book a pleasure," noted the Bulletin of the American Mathematical Society upon the 1955 publication of John L. Kelley's General Topology. This comprehensive treatment for beginning graduate-level students immediately found a significant audience, and it remains a highly worthwhile and relevant book for students of topology and for professionals in many areas. A systematic exposition of the part of general topology that has proven useful in several branches of mathematics, this volume is especially intended as background for modern analysis. An extensive preliminary chapter presents mathematical foundations for the main text. Subsequent chapters explore topological spaces, the Moore-Smith convergence, product and quotient spaces, embedding and metrization, and compact, uniform, and function spaces. Each chapter concludes with an abundance of problems, which form integral parts of the discussion as well as reinforcements and counter examples that mark the boundaries of possible theorems. The book concludes with an extensive index that provides supplementary material on elementary set theory.

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