Mendeley出力
＜図書＞
Approach spaces : the missing link in the topology-uniformity-metric triad
| 責任表示 | R. Lowen |
|---|---|
| シリーズ | Oxford mathematical monographs |
| データ種別 | 図書 |
| 出版情報 | Oxford : Clarendon Press , 1997 |
| 本文言語 | 英語 |
| 大きさ | x, 253 p. : ill. ; 25 cm |
| 概要 | In topology the three basic concepts of metrics, topologies and uniformities have been treated so far as separate entities by means of different methods and terminology. This is the first book to trea... all three as a special case of the concept of approach spaces. This theory provides an answer to natural questions in the interplay between topological and metric spaces by introducing a uniquely well suited supercategory of TOP and MET. The theory makes it possible to equip initial structures of metricizable topological spaces with a canonical structure, preserving the numerical information of the metrics. It provides a solid basis for approximation theory, turning ad hoc notions into canonical concepts, and it unifies topological and metric notions. The book explains the richness of approach structures in great detail; it provides a comprehensive explanation of the categorical set-up, develops the basic theory and provides many examples, displaying links with various areas of mathematics such as approximation theory, probability theory, analysis and hyperspace theory. 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 | LOWE/15/2 | c1997 |
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023211999000816 |
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書誌詳細
| 一般注記 | Includes bibliographical references and index |
|---|---|
| 著者標目 | *Lowen, R. (Robert) |
| 件 名 | LCSH:Topological spaces LCSH:Categories (Mathematics) |
| 分 類 | LCC:QA611.3 DC21:514/.3 |
| 書誌ID | 1001403936 |
| ISBN | 0198500300 |
| NCID | BA31353665 |
| 巻冊次 | ISBN:0198500300 |
| 登録日 | 2009.11.02 |
| 更新日 | 2009.11.02 |