The book has emerged from courses given at the University of Newcastle-upon-Tyne to senior undergraduates and beginning postgraduates.
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It has been written at a level which will enable the reader to use it for self-study as well as a course book. The approach is leisurely and a geometric flavour is evident throughout. The many illustrations and over exercises will prove invaluable as a teaching aid. This account will be welcomed by advanced students of pure mathematics at colleges and universities.
- A First Course In Algebraic Topology!
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Published September 25th by Cambridge University Press first published More Details Other Editions 1. Friend Reviews.
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Hausdorff spaces; 9. Connected spaces; The pancake problems; Manifolds and surfaces; Paths and path connected spaces; 12A. The Jordan curve theorem; Homotopy of continuous mappings; The fundamental group; The fundamental group of a circle; Covering spaces; The fundamental group of a covering space; The fundamental group of an orbit space; The Borsuk-Ulam and ham-sandwhich theorems; More on covering spaces: lifting theorems; More on covering spaces: existence theorems; The fundamental group of a surface; Knots: I Background and torus knots; Knots : II Tame knots; 28A.
Table of Knots; Singular homology: an introduction; Suggestions for further reading; Index.
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