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Convergence Foundations of Topology
By:Szymon Dolecki,Frédéric Mynard
Published on 2016-05-13 by World Scientific Publishing Company

This textbook is an alternative to a classical introductory book in point-set topology. The approach, however, is radically different from the classical one. It is based on convergence rather than on open and closed sets. Convergence of filters is a natural generalization of the basic and well-known concept of convergence of sequences, so that convergence theory is more natural and intuitive to many, perhaps most, students than classical topology. On the other hand, the framework of convergence is easier, more powerful and far-reaching which highlights a need for a theory of convergence in various branches of analysis. Convergence theory for filters is gradually introduced and systematically developed. Topological spaces are presented as a special subclass of convergence spaces of particular interest, but a large part of the material usually developed in a topology textbook is treated in the larger realm of convergence spaces.

This Book was ranked at 8 by Google Books for keyword calculus.

Book ID of Convergence Foundations of Topology's Books is PpBIDQAAQBAJ, Book which was written bySzymon Dolecki,Frédéric Mynardhave ETAG "qCQsTYFu//0"

Book which was published by World Scientific Publishing Company since 2016-05-13 have ISBNs, ISBN 13 Code is 9789814571548 and ISBN 10 Code is 9814571547

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Book which have "568 Pages" is Printed at BOOK under CategoryMathematics

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