书目名称 | Topology of Real Algebraic Sets |
编辑 | Selman Akbulut,Henry King |
视频video | |
丛书名称 | Mathematical Sciences Research Institute Publications |
图书封面 |  |
描述 | In the Fall of 1975 we started a joint project with the ultimate goal of topo logically classifying real algebraic sets. This has been a long happy collaboration (c.f., [K2)). In 1985 while visiting M.S.R.1. we organized and presented our classification results up to that point in the M.S.R.1. preprint series [AK14] -[AK17]. Since these results are interdependent and require some prerequisites as well as familiarity with real algebraic geometry, we decided to make them self contained by presenting them as a part of a book in real algebraic geometry. Even though we have not arrived to our final goal yet we feel that it is time to introduce them in a self contained coherent version and demonstrate their use by giving some applications. Chapter I gives the overview of the classification program. Chapter II has all the necessary background for the rest of the book, which therefore can be used as a course in real algebraic geometry. It starts with the elementary properties of real algebraic sets and ends with the recent solution of the Nash Conjecture. Chapter III and Chapter IV develop the theory of resolution towers. Resolution towers are basic topologically defined objects generaliz |
出版日期 | Book 1992 |
关键词 | Blowing up; Dimension; algebraic varieties; homology; topology |
版次 | 1 |
doi | https://doi.org/10.1007/978-1-4613-9739-7 |
isbn_softcover | 978-1-4613-9741-0 |
isbn_ebook | 978-1-4613-9739-7Series ISSN 0940-4740 |
issn_series | 0940-4740 |
copyright | Springer-Verlag New York, Inc. 1992 |