| 书目名称 | Homology Theory |
| 副标题 | An Introduction to A |
| 编辑 | James W. Vick |
| 视频video | |
| 丛书名称 | Graduate Texts in Mathematics |
| 图书封面 |  |
| 描述 | The 20 years since the publication of this book have been an era of continuing growth and development in the field of algebraic topology. New generations of young mathematicians have been trained, and classical problems have been solved, particularly through the application of geometry and knot theory. Diverse new resources for introductory coursework have appeared, but there is persistent interest in an intuitive treatment of the basic ideas. This second edition has been expanded through the addition of a chapter on covering spaces. By analysis of the lifting problem it introduces the funda mental group and explores its properties, including Van Kampen‘s Theorem and the relationship with the first homology group. It has been inserted after the third chapter since it uses some definitions and results included prior to that point. However, much of the material is directly accessible from the same background as Chapter 1, so there would be some flexibility in how these topics are integrated into a course. The Bibliography has been supplemented by the addition of selected books and historical articles that have appeared since 1973. |
| 出版日期 | Textbook 1994Latest edition |
| 关键词 | Algebraic topology; CW complex; cohomology; fixed point theory; homology; point set topology; set |
| 版次 | 2 |
| doi | https://doi.org/10.1007/978-1-4612-0881-5 |
| isbn_softcover | 978-1-4612-6933-5 |
| isbn_ebook | 978-1-4612-0881-5Series ISSN 0072-5285 Series E-ISSN 2197-5612 |
| issn_series | 0072-5285 |
| copyright | Springer Science+Business Media New York 1994 |
发表于 2025-3-21 17:37:11
