Stone Spaces

Front Cover
Cambridge University Press, 1982 - Mathematics - 370 pages
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.
 

What people are saying - Write a review

We haven't found any reviews in the usual places.

Contents

I
1
III
11
IV
15
V
25
VI
35
VII
39
VIII
48
IX
62
XXII
169
XXIII
181
XXIV
191
XXV
206
XXVI
220
XXVII
224
XXVIII
233
XXIX
246

X
69
XI
76
XII
80
XIII
92
XIV
98
XV
111
XVI
119
XVII
123
XVIII
130
XIX
142
XX
152
XXI
164
XXX
253
XXXI
267
XXXII
270
XXXIII
286
XXXIV
297
XXXV
308
XXXVI
321
XXXVII
324
XXXVIII
364
XXXIX
366
XL
368
Copyright

Other editions - View all

Common terms and phrases

Bibliographic information