Introduction to Lattices and Order

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Cambridge University Press, 18.04.2002 - 298 Seiten
This new edition of Introduction to Lattices and Order presents a radical reorganization and updating, though its primary aim is unchanged. The explosive development of theoretical computer science in recent years has, in particular, influenced the book's evolution: a fresh treatment of fixpoints testifies to this and Galois connections now feature prominently. An early presentation of concept analysis gives both a concrete foundation for the subsequent theory of complete lattices and a glimpse of a methodology for data analysis that is of commercial value in social science. Classroom experience has led to numerous pedagogical improvements and many new exercises have been added. As before, exposure to elementary abstract algebra and the notation of set theory are the only prerequisites, making the book suitable for advanced undergraduates and beginning graduate students. It will also be a valuable resource for anyone who meets ordered structures.
 

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Inhalt

III
1
IV
5
V
10
VI
14
VII
20
VIII
23
IX
25
X
33
XXXIV
141
XXXV
145
XXXVII
148
XXXVIII
155
XXXIX
165
XL
169
XLI
175
XLIV
180

XI
39
XII
41
XIII
46
XIV
50
XV
53
XVI
56
XVII
65
XIX
74
XX
79
XXI
85
XXII
88
XXIII
93
XXIV
96
XXV
104
XXVI
112
XXVII
114
XXVIII
116
XXIX
119
XXX
124
XXXI
130
XXXII
134
XXXIII
137
XLV
182
XLVI
189
XLVII
193
XLVIII
201
LI
204
LII
221
LIII
223
LIV
228
LV
232
LVI
237
LVII
244
LVIII
247
LIX
252
LX
256
LXI
261
LXII
267
LXIII
275
LXIV
280
LXV
286
LXVI
289
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