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<図書>
Stone spaces

責任表示 Peter T. Johnstone
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.
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所蔵情報

: hard covers 理系図3F 数理独自 068222184001415 JOHN/190/2 1982

書誌詳細

一般注記 Bibliography: p. 324-363
Includes indexes
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

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