<図書>
Stone spaces
責任表示 | Peter T. Johnstone |
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シリーズ | Cambridge studies in advanced mathematics ; 3 |
データ種別 | 図書 |
出版者 | Cambridge [Cambridgeshire] ; New York : Cambridge University Press |
出版年 | 1982 |
本文言語 | 英語 |
大きさ | xxi, 370 p. : ill. ; 24 cm |
概要 | Over the last 45 years, Boolean theorem has been generalized and extended in several different directions and its applications have reached into almost every area of modern mathematics; but since it l...es on the frontiers of algebra, geometry, general topology and functional analysis, the corpus of mathematics which has arisen in this way is seldom seen as a whole. In order to give a unified treatment of this rather diverse body of material, Dr Johnstone begins by developing the theory of locales (a lattice-theoretic approach to 'general topology without points' which has achieved some notable results in the past ten years but which has not previously been treated in book form). This development culminates in the proof of Stone's Representation Theorem. Over the last 45 years, Boolean theorem has been generalized and extended in several different directions and its applications have reached into almost every area of modern mathematics; but since it lies on the frontiers of algebra, geometry, general topology and functional analysis, the corpus of mathematics which has arisen in this way is seldom seen as a whole. In order to give a unified treatment of this rather diverse body of material, Dr Johnstone begins by developing the theory of locales (a lattice-theoretic approach to 'general topology without points' which has achieved some notable results in the past ten years but which has not previously been treated in book form). This development culminates in the proof of Stone's Representation Theorem. 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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: hard covers | 理系図3F 数理独自 | JOHN/190/2 | 1982 |
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068222184001415 |
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書誌詳細
一般注記 | Bibliography: p. 324-363 Includes indexes |
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著者標目 | *Johnstone, P. T. |
件 名 | LCSH:Algebra, Boolean LCSH:Representations of algebras LCSH:Topology LCSH:Algebra LCSH:Functional analysis |
分 類 | LCC:QA10.3 DC19:511.3/24 |
書誌ID | 1001393954 |
ISBN | 0521238935 |
NCID | BA01168653 |
巻冊次 | : hard covers ; ISBN:0521238935 ; PRICE:$36.50 : paperback ; ISBN:0521337798 |
登録日 | 2009.11.02 |
更新日 | 2009.11.02 |