Convergence Foundations of Topology
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Book Overview It is clear that the book, with its high level of scholarship, is a labour of love on the part of its authors, and it will no doubt make ...
It is clear that the book, with its high level of scholarship, is a labour of love on the part of its authors, and it will no doubt make quite a dent in the right circles ... The mature reader, disposed to this way of redoing topology, will have a great time."
Mathematical Association of America
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.
Book Details Format: Paperback | Pages: 548 | Language: English | Publisher: WORLD SCIENTIFIC PUB CO INC | ISBN: 9814571520
FormatPaperback
Pages548
LanguageEnglish
ISBN9814571520
EAN9789814571524
PublisherWORLD SCIENTIFIC PUB CO INC
Publication Date1970-01-01
AccessoriesNo Accessory
ConditionNew
Product TypeQUALITY PAPERBACK BOOKS
Weight1.85 Pounds
Length8.9 Inches
Width6.1 Inches
Height1.2 Inches
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