An understanding of topology is fundamental to the grasp of most branches of mathematical analysis and geometry. This wide-ranging treatment opens with basic concepts of set theory and topological spaces; it concludes with the rudiments of functional analysis. Its remarkable depth contributes to its ... read more
See Sample Pages! Click here to look inside this book.
Customers who bought this book also bought:
Our Editors also recommend:
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.
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.
Topology and Geometry for Physicists by Charles Nash, Siddhartha Sen Written by physicists for physics students, this text assumes no detailed background in topology or geometry. Topics include differential forms, homotopy, homology, cohomology, fiber bundles, connection and covariant derivatives, and Morse theory. 1983 edition.
Topology of 3-Manifolds and Related Topics by M.K. Fort, Jr., Daniel Silver Summaries and full reports from a 1961 conference discuss decompositions and subsets of 3-space; n-manifolds; knot theory; the Poincaré conjecture; and periodic maps and isotopies. Familiarity with algebraic topology required. 1962 edition.
Undergraduate Topology by Robert H. Kasriel This introductory treatment is essentially self-contained and features explanations and proofs that relate to every practical aspect of point set topology. Hundreds of exercises appear throughout the text. 1971 edition.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
An understanding of topology is fundamental to the grasp of most branches of mathematical analysis and geometry. This wide-ranging treatment opens with basic concepts of set theory and topological spaces; it concludes with the rudiments of functional analysis. Its remarkable depth contributes to its versatility as a classroom text, a guide for independent study, and a reference. Suitable for advanced undergraduates and graduate students, this volume can serve as a text for a complete course in topology. Its comprehensive scope and coherent presentation make it equally valuable as a self-contained guide for those wishing to study at their own pace. Additional enrichment materials and advanced topic coverage—including extensive material on differentiable manifolds, abstract harmonic analysis, and fixed point theorems—constitute an excellent reference for mathematics teachers, students, and professionals.
Reprint of the Academic Press, New York and London, 1964 edition.
This book was printed in the United States of America.
Dover books are made to last a lifetime. Our US book-manufacturing partners produce the highest quality books in the world and they create jobs for our fellow citizens. Manufacturing in the United States also ensures that our books are printed in an environmentally friendly fashion, on paper sourced from responsibly managed forests.