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Recommendations... Point Set Topology
by Steven A. Gaal
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.
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| |  Topology for Analysis
by Albert Wilansky
Three levels of examples and problems make this volume appropriate for students and professionals. Abundant exercises, ordered and numbered by degree of difficulty, illustrate important topological concepts. 1970 edition.
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 General Topology
by Stephen Willard
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.
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| |  Introduction to Topology: Second Edition
by Theodore W. Gamelin, Robert Everist Greene
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.
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 Topology
by John G. Hocking, Gail S. Young
Superb one-year course in classical topology. Topological spaces and functions, point-set topology, much more. Examples and problems. Bibliography. Index.
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| |  Counterexamples in Topology
by Lynn Arthur Steen, J. Arthur Seebach, Jr.
Over 140 examples, preceded by a succinct exposition of general topology and basic terminology. Each example treated as a whole. Numerous problems and exercises correlated with examples. 1978 edition. Bibliography.
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 A Combinatorial Introduction to Topology
by Michael Henle
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.
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| |  Introduction to Topology: Third Edition
by Bert Mendelson
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.
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 Elementary Concepts of Topology
by Paul Alexandroff
Concise work presents topological concepts in clear, elementary fashion, from basics of set-theoretic topology, through topological theorems and questions based on concept of the algebraic complex, to the concept of Betti groups. Includes 25 figures.
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Products in Topology | | |  | Algebraic Topology
by C. R. F. Maunder
Thorough, modern treatment, essentially from a homotopy theoretic viewpoint. Topics include homotopy and simplicial complexes, the fundamental group, homology theory, homotopy theory, homotopy groups and CW-Complexes, and other topics. Includes exercises. Bibliography. 1980 corrected edition.
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|  | Algebraic Topology: Homology and Cohomology
by Andrew H. Wallace
This self-contained treatment studies several algebraic invariants: the fundamental group, singular and Cech homology groups, and a variety of cohomology groups. Extensive appendixes review background material. 1970 edition.
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|  | Cohomology Operations and Applications in Homotopy Theory
by Robert E. Mosher, Martin C. Tangora
This treatment explores the single most important variety of cohomology operations, the Steenrod squares. It constructs these operations, proves their major properties, and provides numerous applications. 1968 edition.
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| | A Combinatorial Introduction to Topology
by Michael Henle
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.
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|  | Combinatorial Topology
by P. S. Alexandrov
Clearly written, well-organized, 3-part text begins by dealing with certain classic problems without using the formal techniques of homology theory and advances to the central concept, the Betti groups. Numerous detailed examples.
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| | Counterexamples in Topology
by Lynn Arthur Steen, J. Arthur Seebach, Jr.
Over 140 examples, preceded by a succinct exposition of general topology and basic terminology. Each example treated as a whole. Numerous problems and exercises correlated with examples. 1978 edition. Bibliography.
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|  | Differential Topology: First Steps
by Andrew H. Wallace
Keeping mathematical prerequisites to a minimum, this undergraduate-level text stimulates students' intuitive understanding of topology while avoiding the more difficult subtleties and technicalities. 1968 edition.
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| | Elementary Concepts of Topology
by Paul Alexandroff
Concise work presents topological concepts in clear, elementary fashion, from basics of set-theoretic topology, through topological theorems and questions based on concept of the algebraic complex, to the concept of Betti groups. Includes 25 figures.
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|  | Elementary Topology: Second Edition
by Michael C. Gemignani
Superb introduction to metric spaces, topologies, convergence, compactness, connectedness, homotopy theory, other essentials. Numerous exercises, plus section on paracompactness and complete regularity. References. Includes 107 illustrations.
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|  | Elements of Point-Set Topology
by John D. Baum
Basic treatment covers preliminaries (sets, relations, etc.), topological spaces, continuous functions (mappings) and homeomorphisms, special types of topological spaces, metric spaces, more. Geometric and axiomatic approach for easier accessibility. Exercises. Bibliography.
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|  | Formal Knot Theory
by Louis H. Kauffman
The author draws upon his work as a topologist to illustrate the relationships between knot theory and statistical mechanics, quantum theory, and algebra, as well as the role of knot theory in combinatorics. 51 illustrations. 1983 edition.
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|  | From Geometry to Topology
by H. Graham Flegg
Introductory text for first-year math students uses intuitive approach, bridges the gap from familiar concepts of geometry to topology. Exercises and Problems. Includes 101 black-and-white illustrations. 1974 edition.
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| | General Topology
by Stephen Willard
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.
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|  | A Geometric Introduction to Topology
by C. T. C. Wall
First course in algebraic topology for advanced undergraduates. Homotopy theory, the duality theorem, relation of topological ideas to other branches of pure mathematics. Exercises and problems. 1972 edition.
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|  | An Introduction to Algebraic Topology
by Andrew H. Wallace
This self-contained treatment begins with three chapters on the basics of point-set topology, after which it proceeds to homology groups and continuous mapping, barycentric subdivision, and simplicial complexes. 1961 edition.
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|  | Introduction to Knot Theory
by Richard H. Crowell, Ralph H. Fox
Appropriate for advanced undergraduates and graduate students, this text by two renowned mathematicians was hailed by the Bulletin of the American Mathematical Society as "a very welcome addition to the mathematical literature." 1963 edition.
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| | Introduction to Topology: Second Edition
by Theodore W. Gamelin, Robert Everist Greene
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.
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| | Introduction to Topology: Third Edition
by Bert Mendelson
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.
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|  | Intuitive Concepts in Elementary Topology
by B.H. Arnold
Classroom-tested and much-cited, this concise text is designed for undergraduates. It offers a valuable and instructive introduction to the basic concepts of topology, taking an intuitive rather than an axiomatic viewpoint. 1962 edition.
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|  | Invitation to Combinatorial Topology
by Maurice Fréchet, Ky Fan, Howard W. Eves
Elementary text, accessible to anyone with a background in high school geometry, covers problems inherent to coloring maps, homeomorphism, applications of Descartes' theorem, topological polygons, more. Includes 108 figures. 1967 edition.
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