This introduction to topology emphasizes a geometric approach with a focus on surfaces. A primary feature is a large collection of exercises and projects, which fosters a teaching style making the student an active class participant. A wide range of material at different levels supports flexible use of the book for a variety of students. Part I is appropriate for a one semester or two quarter course, and Part II, which id problem based allows the book to be used for a year long course which supports a variety of syllabuses.
| List of Figures | ||
| I | A Geometric Introduction to Topology | |
| 1 | Basic point set topology | 3 |
| 2 | The classification of surfaces | 62 |
| 3 | The fundamental group and its applications | 153 |
| II | Covering Spaces, CW Complexes and Homology | |
| 4 | Covering spaces | 243 |
| 5 | CW complexes | 260 |
| 6 | Homology | 281 |
| App | Selected solutions | 355 |
| References | 383 | |
| Index | 385 |
Overview
This introduction to topology emphasizes a geometric approach with a focus on surfaces. A primary feature is a large collection of exercises and projects, which fosters a teaching style making the student an active class participant. A wide range of material at different levels supports flexible use of the book for a variety of students. Part I is appropriate for a one semester or two quarter course, and Part II, which id problem based allows the book to be used for a year long course which supports a variety of ...