000 01451nam a22002417a 4500
999 _c54802
_d54802
008 210322b ||||| |||| 00| 0 eng d
020 _a9780521337793
082 _a514.3
_bJOH
100 _aJohnstone, P. T.
245 _aStone spaces
260 _aCambridge:
_bCambridge University Press,
_c1986.
300 _axxi, 370 p. : ill. ;
_bpb,
_c24 cm.
365 _aGBP
_b40.99
440 _aCambridge studies in advanced mathematics ; 3.
504 _aIncludes indexes. Bibliography: p. 324-363.
520 _aOver 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.
650 _aRepresentations of algebras
650 _aAlgebra, Boolean
650 _aTopology
650 _aAlgebra
650 _aFunctional analysis
942 _cTD