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＜図書＞
Topological circle planes and topological quadrangles
| 責任表示 | Andreas E. Schroth |
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| シリーズ | Pitman research notes in mathematics series ; 337 |
| データ種別 | 図書 |
| 出版情報 | Harlow : Longman , 1995 |
| 本文言語 | 英語 |
| 大きさ | x, 155 p. : ill. ; 25 cm |
| 概要 | This research note presents a complete treatment of the connection between topological circle planes & topological generalized quadrangles. The author uses this connection to provide a better understa...ding of the relationships between different types of circle planes & to solve a topological version of the problem of Apollonius. Topological Circle Planes & Topological Quadrangles begins with a foundation in classical circle planes & the real symmetric generalized quadrangle & the connection between them. This provides a solid base from which the author offers a more generalized exploration of the topological case. He also compares this treatment to the finite case. Subsequent chapters examine Laguerre, M bius, & Minkowski planes & their respective relationships to antiregular quadrangles. The author addresses the Lie geometry of each & discuss the relationships of circle planes-the "sisters" of M bius, Laguerre, & Minkowski planes - & concludes by solving a topological version of the problem of Apollonius in Laguerre, M bius, & Minkowski planes. The treatment offered in this volume offers complete coverage of the topic. The first part of the text is accessible to anyone with a background in analytic geometry, while the second part requires basic knowledge in general & algebraic topology. Researchers interested in geometry-particularly in topological geometry-will find this volume intriguing & informative. Most of the results presented are new & can be applied to various problems in the field of topological circle planes. Features 続きを見る |
所蔵情報
| 状態 | 巻次 | 所蔵場所 | 請求記号 | 刷年 | 文庫名称 | 資料番号 | コメント | 予約・取寄 | 複写申込 | 自動書庫 |
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理系図3F 数理独自 | SCHR/120/1 | 1995 |
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023211996000647 |
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芸工図 2F 書架 | 410.8/R28/337 | 1995 |
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072032196000458 |
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書誌詳細
| 一般注記 | Includes bibliographical references (p. 154-155) and index |
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| 著者標目 | *Schroth, Andreas |
| 件 名 | LCSH:Finite generalized quadrangles LCSH:Circle |
| 分 類 | NDC9:410.8 NDC8:414.12 DC20:516.13 |
| 書誌ID | 1000927372 |
| ISBN | 0582288118 |
| NCID | BA26977016 |
| 巻冊次 | ISBN:0582288118 ; PRICE:No price : Formerly CIP |
| NBN | B9597462 |
| 登録日 | 2009.09.16 |
| 更新日 | 2009.11.02 |