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General Topology

General Topology
Author: George A. Duckett
Publisher: Createspace Independent Publishing Platform
Total Pages: 264
Release: 2016-05-08
Genre:
ISBN: 9781533137883

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If you have a question about General Topology this is the book with the answers. General Topology: Questions and Answers takes some of the best questions and answers asked on the math.stackexchange.com website. You can use this book to look up commonly asked questions, browse questions on a particular topic, compare answers to common topics, check out the original source and much more. This book has been designed to be very easy to use, with many internal references set up that makes browsing in many different ways possible. Topics covered include: Real Analysis, Compactness, Metric Spaces, Algebraic Topology, Functional Analysis, Reference Request, Topological Groups, Manifolds, Connectedness, Analysis, Differential Geometry, Continuity, Set Theory, Category Theory and many more."


Elementary Topology

Elementary Topology
Author: O. Ya. Viro, O. A. Ivanov, N. Yu. Netsvetaev, V. M. Kharlamov
Publisher: American Mathematical Soc.
Total Pages: 432
Release:
Genre: Mathematics
ISBN: 9780821886250

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This text contains a detailed introduction to general topology and an introduction to algebraic topology via its most classical and elementary segment. Proofs of theorems are separated from their formulations and are gathered at the end of each chapter, making this book appear like a problem book and also giving it appeal to the expert as a handbook. The book includes about 1,000 exercises.


Topology for Analysis

Topology for Analysis
Author: Albert Wilansky
Publisher: Courier Corporation
Total Pages: 399
Release: 2008-10-17
Genre: Mathematics
ISBN: 0486469034

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Starting with the first principles of topology, this volume advances to general analysis. Three levels of examples and problems make it appropriate for students and professionals. Abundant exercises, ordered and numbered by degree of difficulty, illustrate important concepts, and a 40-page appendix includes tables of theorems and counterexamples. 1970 edition.


Introduction to Topology

Introduction to Topology
Author: Theodore W. Gamelin
Publisher: Courier Corporation
Total Pages: 258
Release: 2013-04-22
Genre: Mathematics
ISBN: 0486320189

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This text explains nontrivial applications of metric space topology to analysis. Covers metric space, point-set topology, and algebraic topology. Includes exercises, selected answers, and 51 illustrations. 1983 edition.


Introduction to Topology

Introduction to Topology
Author: Bert Mendelson
Publisher: Courier Corporation
Total Pages: 226
Release: 2012-04-26
Genre: Mathematics
ISBN: 0486135098

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Concise undergraduate introduction to fundamentals of topology — clearly and engagingly written, and filled with stimulating, imaginative exercises. Topics include set theory, metric and topological spaces, connectedness, and compactness. 1975 edition.


General Topology

General Topology
Author: Stephen Willard
Publisher: Courier Corporation
Total Pages: 386
Release: 2012-07-12
Genre: Mathematics
ISBN: 0486131785

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Among the best available reference introductions to general topology, this volume is appropriate for advanced undergraduate and beginning graduate students. Includes historical notes and over 340 detailed exercises. 1970 edition. Includes 27 figures.


Basic Topology

Basic Topology
Author: M.A. Armstrong
Publisher: Springer Science & Business Media
Total Pages: 260
Release: 2013-04-09
Genre: Mathematics
ISBN: 1475717938

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In this broad introduction to topology, the author searches for topological invariants of spaces, together with techniques for their calculating. Students with knowledge of real analysis, elementary group theory, and linear algebra will quickly become familiar with a wide variety of techniques and applications involving point-set, geometric, and algebraic topology. Over 139 illustrations and more than 350 problems of various difficulties help students gain a thorough understanding of the subject.


Open Problems in Topology

Open Problems in Topology
Author: J. van Mill
Publisher: North Holland
Total Pages: 716
Release: 1990
Genre: Mathematics
ISBN:

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From the Introduction: This volume grew from a discussion by the editors on the difficulty of finding good thesis problems for graduate students in topology. Although at any given time we each had our own favorite problems, we acknowledged the need to offer students a wider selection from which to choose a topic peculiar to their interests. One of us remarked, 'Wouldn't it be nice to have a book of current unsolved problems always available to pull down from the shelf?' The other replied 'Why don't we simply produce such a book?' Two years later and not so simply, here is the resulting volume. The intent is to provide not only a source book for thesis-level problems but also a challenge to the best researchers in the field.


Analytic Topology

Analytic Topology
Author: Gordon Thomas Whyburn
Publisher: American Mathematical Soc.
Total Pages: 295
Release: 1963
Genre: Mathematics
ISBN: 0821810286

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"The material here presented represents an elaboration on my Colloquium Lectures delivered before the American Mathematical Society at its September, 1940 meeting at Dartmouth College." - Preface.