| 書目名稱 | Modern Projective Geometry |
| 編輯 | Claude-Alain Faure,Alfred Fr?licher |
| 視頻video | http://file.papertrans.cn/638/637375/637375.mp4 |
| 叢書名稱 | Mathematics and Its Applications |
| 圖書封面 |  |
| 描述 | Projective geometry is a very classical part of mathematics and one might think that the subject is completely explored and that there is nothing new to be added. But it seems that there exists no book on projective geometry which provides a systematic treatment of morphisms. We intend to fill this gap. It is in this sense that the present monograph can be called modern. The reason why morphisms have not been studied much earlier is probably the fact that they are in general partial maps between the point sets G and G, noted ‘ 9 : G -- ~ G‘, i.e. maps 9 : D -4 G‘ whose domain Dom 9 := D is a subset of G. We give two simple examples of partial maps which ought to be morphisms. The first example is purely geometric. Let E, F be complementary subspaces of a projective geometry G. If x E G E, then g(x) := (E V x) n F (where E V x is the subspace generated by E U {x}) is a unique point of F, i.e. one obtains a map 9 : G E -4 F. As special case, if E = {z} is a singleton and F a hyperplane with z tf. F, then g: G {z} -4 F is the projection with center z of G onto F. |
| 出版日期 | Book 2000 |
| 關(guān)鍵詞 | Lattice; Volume; matroid; projective geometry; quantum mechanics; matrix theory; combinatorics |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-94-015-9590-2 |
| isbn_softcover | 978-90-481-5544-6 |
| isbn_ebook | 978-94-015-9590-2 |
| copyright | Springer Science+Business Media Dordrecht 2000 |
|Archiver|手機(jī)版|小黑屋|
派博傳思國際
( 京公網(wǎng)安備110108008328)
GMT+8, 2025-10-13 17:19
發(fā)表于 2025-3-21 17:08:03
