Set Ideal Topological Spaces

Set Ideal Topological Spaces
Title Set Ideal Topological Spaces PDF eBook
Author W. B. Vasantha Kandasamy, Florentin Smarandache
Publisher Infinite Study
Pages 116
Release
Genre
ISBN 1599731932

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Ideal Topological Spaces

Ideal Topological Spaces
Title Ideal Topological Spaces PDF eBook
Author Julian Dontchev
Publisher
Pages 11
Release 1998
Genre
ISBN 9789529105762

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Point Set Topology

Point Set Topology
Title Point Set Topology PDF eBook
Author Steven A. Gaal
Publisher Courier Corporation
Pages 338
Release 2009-04-23
Genre Mathematics
ISBN 0486472221

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Suitable for a complete course in topology, this text also functions as a self-contained treatment for independent study. Additional enrichment materials make it equally valuable as a reference. 1964 edition.

Elements of Point Set Topology

Elements of Point Set Topology
Title Elements of Point Set Topology PDF eBook
Author John D. Baum
Publisher Courier Corporation
Pages 164
Release 1991-01-01
Genre Mathematics
ISBN 0486668266

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Topology continues to be a topic of prime importance in contemporary mathematics, but until the publication of this book there were few if any introductions to topology for undergraduates. This book remedied that need by offering a carefully thought-out, graduated approach to point set topology at the undergraduate level. To make the book as accessible as possible, the author approaches topology from a geometric and axiomatic standpoint; geometric, because most students come to the subject with a good deal of geometry behind them, enabling them to use their geometric intuition; axiomatic, because it parallels the student's experience with modern algebra, and keeps the book in harmony with current trends in mathematics. After a discussion of such preliminary topics as the algebra of sets, Euler-Venn diagrams and infinite sets, the author takes up basic definitions and theorems regarding topological spaces (Chapter 1). The second chapter deals with continuous functions (mappings) and homeomorphisms, followed by two chapters on special types of topological spaces (varieties of compactness and varieties of connectedness). Chapter 5 covers metric spaces. Since basic point set topology serves as a foundation not only for functional analysis but also for more advanced work in point set topology and algebraic topology, the author has included topics aimed at students with interests other than analysis. Moreover, Dr. Baum has supplied quite detailed proofs in the beginning to help students approaching this type of axiomatic mathematics for the first time. Similarly, in the first part of the book problems are elementary, but they become progressively more difficult toward the end of the book. References have been supplied to suggest further reading to the interested student.

Set Topology

Set Topology
Title Set Topology PDF eBook
Author R. Vaidyanathaswamy
Publisher Courier Corporation
Pages 292
Release 1960-01-01
Genre Mathematics
ISBN 9780486404561

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This introductory text covers the algebra of subsets and of rings and fields of sets, complementation and ideal theory in the distributive lattice, closure function, neighborhood topology, much more. Includes numerous exercises. 1960 edition.

Handbook of Set-Theoretic Topology

Handbook of Set-Theoretic Topology
Title Handbook of Set-Theoretic Topology PDF eBook
Author K. Kunen
Publisher Elsevier
Pages 1282
Release 2014-06-28
Genre Mathematics
ISBN 148329515X

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This Handbook is an introduction to set-theoretic topology for students in the field and for researchers in other areas for whom results in set-theoretic topology may be relevant. The aim of the editors has been to make it as self-contained as possible without repeating material which can easily be found in standard texts. The Handbook contains detailed proofs of core results, and references to the literature for peripheral results where space was insufficient. Included are many open problems of current interest.In general, the articles may be read in any order. In a few cases they occur in pairs, with the first one giving an elementary treatment of a subject and the second one more advanced results. These pairs are: Hodel and Juhász on cardinal functions; Roitman and Abraham-Todorčević on S- and L-spaces; Weiss and Baumgartner on versions of Martin's axiom; and Vaughan and Stephenson on compactness properties.

A Combinatorial Introduction to Topology

A Combinatorial Introduction to Topology
Title A Combinatorial Introduction to Topology PDF eBook
Author Michael Henle
Publisher Courier Corporation
Pages 340
Release 1994-01-01
Genre Mathematics
ISBN 9780486679662

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Excellent text covers vector fields, plane homology and the Jordan Curve Theorem, surfaces, homology of complexes, more. Problems and exercises. Some knowledge of differential equations and multivariate calculus required.Bibliography. 1979 edition.