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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