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Birknoff — Lattice Theory

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Название: Lattice Theory

Автор: Birknoff

Язык:

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1948

Количество страниц: 308

Добавлена в каталог: 21.04.2008

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID

Предметный указатель

$B_{\infty}$       177
$L_{*}$       53
$P_{0}$ -group      214
$T_{0}$ -space      x
$T_{1}$ -space      x
$V1^{*}$       75
$\sigma$ -lattice, $\sigma$ --ring      52
$\uparrow$ -atomic, $\downarrow$ -atomic      38
<m,n> -problem      112
A, G. Kurosh      89 93 94 98 105
A, R. Turquette      197
A.      H. Diamond
A. A. Albert      85 88 122 201 228
A. A. Bennett      17
A. A. Grau      137 158
A. A. Liapounoff      167
A. B. Kempe      12
A. Bischof      221 257
A. D. Campbell      20
A. D. Michal      247
A. D. Wallace      54
A. Denjoy      31
A. F. Monna      238
A. G. Pinsker      246 257
A. G. Walker      216
A. Gleason      39 42
A. H. Clifford      217 229 236
A. Haar      39 41
A. Heyting      195
A. Householder      188
A. Judin      238
A. Khinchine      261 267
A. Komatu      25 64
A. Korselt      133
A. L. Foster      155 158
A. Malcev      218
A. Monteiro      50 143
A. N. Kolmogoroff      113 127 176 195 197 262 263 266
A. N. Milgram      173
A. N. Whitehead      7 9 44 152 190 191 194
A. Pereira Gomes      173 181
A. Rottlaender      98
A. Suschkewitch      85
A. Tarski      21 25 26 38 46 59 96 140 141 146 147 165 166 179 180 185 195 196 197 210 212 226
A. Tovbin      256
A. Tychonoff      45
A. W. Jones      97
A. W. Tucker      13
A. Weil      144
A. Youdine      243
Abelian 1—group      216 223ff
Absolute      220
Absorption law      18
Abstract (L)-space      254ff
Additive function      244
Affine      102 110
Algebra      vii
Anne O’Neill      258 0
Anti-isomorphic      3
antisymmetric      1
Antitone      3
APG1-APG3      110
Archimedean      225
Ascending chain condition      37
atom      7
Atomic modular lattice      129
atomicity      37
Axiom of Choice      42ff
B. A. Bernstein      153
B. A. Hausmann      85 88
B. C. Rennie      52
B. Dushnik      12
B. Jessen      184
B. Knaster      41 48 54
B. L. van der Waerden      36 37 44 88 93 108 135 144 201 228
B. Nagy      243
B. Neumann      226
B. O. Koopman      197 266
B. Russell      7 9 44 190 191 194
B. Vulich      243 257
Banach lattice      247
Basis      x
BETWEEN      1
Birkhoff lattice      100
Boolean $\sigma$ -algebra      167
Boolean algebra      152ff
Boolean equation      164
Boolean function      163
Boolean ring      153ff
Boolean space      174
Borel set      172
Boruvka      85 109
Bounded      244
Bounded variation      83 246
Bourbaki      44
Breadth      20
Brouwerian logic      147 195 204
Bruce Crabtree      39
C. Carathdodory      56 169 181
C. E. Rickart      252
C. H. Langford      196
C. I. Lewis      1 18 196
C. J. Everett      56 57 103 216 221 227 229 231
C. Jordan      88 91
C. Kuratowski      42 179 186
C. Neumann      265
C. S. Peirce      1 16 19 133 210
C. Segre      122
C1—C4      x
Cardinal power      8 25
Cardinal product      7 25 206
Cardinal sum      7 25
Cartesian product      xi
Category      178
Cauchy sequence      xi
Center      27 124 153
Central isomorphism      90
Chain      10 31ff
Chain condition      11 37 235
Characteristic function      14 154
Chr. Pauc      104 113 127
cl-semigroup      201
Closed ideal      59 141 160
Closed interval      1 39
Closed set      x
Closure      x
Closure algebra      180
Closure operation      49
cm-lattice      201
Cofinal      xii
Complement      23
Complemented lattice      23 105 114ff 152ff
complete      xi 16 40 49ff 82 200 229
Completion by cuts      58
Complexes, calculus of      141 203
Conditionally complete      51
Configuration      12 112
Congruence relation      vii 21 85 119
Conjugate space      246
Connected      6 11
Continuous geometry      125ff
Continuum Hypothesis      45
Convergence      xi
CONVERSE      3
Convex sublattice      22 222
Coprime      205
Correlation      122
Cover      5
Covering      181
Crown      142

Cut      58
D. C. Lewis      14
D. C. Murdoch      88
D. Hilbert      32 37 212 227 228
D. Koenig      6
D. L. Webb      197
D. Maharam      187
D. Rees      88
D. S. Miller      266
D. W. Hall      57
D. Zelinsky      221
Dedekind structure      65
Dense element      148
Dense-in-itself      31
Dependent probabilities      259
Descending chain condition      37
Diagram      6
Difference      114
DIMENSION      11 67
Direct join      94
Direct union      viii 25 87 94ff
Directed group      217
Directed set      xi
Disjoint      74 220 223 232
Disjunction property      173
Distance      x
distribution      254
Distributive      27 133ff
Dual      3
Dual ideal      21
Duality principle      3
E. Artin      37 110 228
E. E. Moise      39
E. Foradori      4 257
E. George      89
E. Gonzales      138
E. H. Moore      12 49 243
E. Hartogs      46
E. Hewitt      173
E. Hille      259 262
E. Hopf      12 14 264 266
E. Inaba      98
E. Livenson      173
E. Maeda      80 128
E. Netto      112
E. Picard      265
E. Pitcher      2 78
E. Post      197
E. R. van Kampen      12 13
E. Rothe      264
E. Schr&der      1 4 16 18 133 152 164 210
E. Steinitz      106 108
E. Szpilrajn      44 186
E. T. Bell      155 164
E. Tornier      198
E. V. Huntington      18 31 32 86 133 135 155 158 171 196
E. W. Miller      12 47
E. Wigner      228
E. Zarantonello      252
E. Zermelo      42 43
Einartig      206
Elementary subset      172
Emmy Noether      17 88 93
Endomorphism      vii 119
Equivalence relation      vii
Ergodic      266ff
Eulerian square      112
Exchange axiom      106
Extensionally attainable      50
F. C. S. Schiller      189
F. Eberlein      267
F. Hausdorff      1 7 31 35 39 42 59 80 185
F. I. Mautner      158 162
F. Kiokemeister      86
F. Loonstra      226
F. R. Klein      5 17 18 74 104 105
F. Riesz      39 52 83 221 222 223 232 238 243 258 267
F. W. Levi      12 56 57 224 226
F.Zubieta      47—48
Finitary      vii
Finite character      42
First isomorphism theorem      88
Fixpoint theorems      41 54 64
Flat      116
Free algebra      viii
Free Boolean algebra      163
Free closure algebra      180
Free distributive lattice      145
Free lattice      29ff
Free modular lattice      68ff 124
Free Z-group      221
Functional      246
G. Bates      86
G. Bergmann      134
G. Bolza      91
G. Boole      18 145 152 153 188 189 191 194 0
G. Cantor      35 36 48
G. D. Birkhoff      14 135 263 264 266
G. Frobenius      141 264 265
G. Hessenberg      35
G. Higman      173
G. Koethe      246
G. Kurepa      47
G. Leibniz      1
G. N. Garrison      85 89
G. Noebeling      104 113 127
G. P. Akilov      257
G. Rajchmann      265
G. Sunouchi      252
G. Uzkow      89
G. Williams      17 108
Galois connection      56 148
Gegalkin      153
Generalized Induction Principle      38
Generalized laws      53
Gr. C. Moisil      21 138 141 164 196 197
Graph      6 138
Greatest lower bound      16
Group with operators      90
H. Behmann      212
H. Cartan      226
H. Cramer      197
H. D. Landahl      188
H. Eyraud      45
H. F. Bohnenblust      223 252 254
H. Fitting      94
H. Freudenthal      219 223 235 238 252
H. Grell      206
H. Hahn      39 228
H. Hasse      6
H. Loewig      66 109 166
H. M. Sheffer      157
H. MacNeille      4 58 141 159 178
H. Nakano      248 267
H. P. Evans      169
H. Poincarg      263
H. R. Pitt      266
H. S. M. Coxeter      112
H. Shimbireva      237
H. Terasaka      173
H. Vogt      6
H. Wallman      172
H. Whitney      14 104 105 106 153
H. Wielandt      99 109
Height      11
Ho Zassenhaus      72 89 123 205
Homogeneous continuum      46ff
Homomorphism, vii      21
Hypothesis of Markoff      263
I. Arnold      229

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