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                    | Monk J.D., Bonnet R. — Handbook Of Boolean Algebras Vol.3 |  
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                    | Предметный указатель |  
                    | | Martingale theorem      882 Martin’s axiom      935
 Martyjanov, V.      1096 1314
 Mart’yanov, V.      1081
 Mate, A.      1329 1331
 Matei, S.      1283 1286 1305f
 Mathias, A.      1330f
 Matthes, K.      1286
 Matzinger, H.      1341
 Mauldin, R.D.      956 979
 Maurice, M.      1279 1286 1336
 Max point      1180
 Maximal r.e. set      1153
 Maximal subalgebra      1154
 Maximal system of notation      1113
 Maxson, C.      1286 1288
 Mayer, R.      842 875 1287
 Mazur, S.      1336
 Mazurkiewicz, S.      721 740 784 789 875 1306 1308
 McAloon, K.      1287
 McCall, S.      1314
 McCarthy, C      1310
 McDowell, R.      1279 1287
 McKenzie, R.      1050 1065 1095 1156f 1159 1162f 1284 1287f 1311 1314
 Mead, J.      1112 1120 1122 1164 1314f 1328
 Meager      1243
 Measurable algebra      879 888 892 898f 912 921 926 940ff 953 956ff 969f
 Measurable function      887 1201
 Measure      792 1178
 Measure algebra      717 888 890f 915 928 936ff 967f 1269
 Measure monoid      792 1167 1187ff
 Measure preserving map      1179
 Measure space      880 890
 Measure-preserving automorphism      907 927
 Measure-preserving homomorphism      896 899 907 910 916 918
 Measure-preserving isomorphism      911 914ff 926
 Measured      1178
 Measures      1167 1169
 Mendelson, E.      1306
 Metakides, G.      1126 1159 1164 1287 1290
 Metalka, J.      1306
 Method of dense systems      985
 Method of interpretation      985
 Metric associated with a measure      898
 Metric associated with a submeasure      943
 Metric completion of a BA      902 943
 Metric of a totally finite measure algebra      898
 Meyer, P.      883 979
 Meyer, R.      782
 Mibu, Y.      1323
 Mijajlovic, Z.      1287 1314
 Miller, A.      973 979 1287 1290
 Miller, D.      1306
 Milner, E.      1287 1290
 Minimally effective presentations      1125
 Mirolli, M.      1306
 Misra, S.      1287f 1295
 Mitchell, W.      734 740 1331
 Mitchell’s model      734
 Model interpretation      1069
 Model map      1167
 Model of a monoid      832
 Model-space Cantor — Bernstein theorem      1176
 Mokobodzki, G.      935 979 1323
 Mokobodzki’s theorem      934 936
 Molto, A.      1323
 Molzan, B.      10H 1081 1083 1096 1314
 Monadic algebra      1040
 Monadic language      1177
 Monadic language theorem      1185
 Monadic theory of countable linear order      993ff
 Monk, J.D.      xi xiv 722 763 773 880 957 988 1025 1066 1100 1164 1170 1194 1233 1272 1275 1281 1284 1287 1290 1294 1306
 Monk’s theorem on independence      957
 Monomorphism      922 923
 Monro, G.      1288
 Monteiro, A.      1307
 Moore, L.      1052 1065 1313f
 Moore, M.      1303 1307
 Moreau, M.      1301 1307
 Mori, S.      1307
 Mori, T.      1288 1307
 Morley, M.      1193 1194 1288 1307
 Morozov, A.      1081 1112 1122ff 1125 1159 1160f 1164 1288 1314 1328
 Morphism between QO systems      855
 Moschen, M.      1321 1324
 Moscucci, M.      1274 1288
 Moses, M.      1131 1151 1164
 Mostowski, A.      721ff 740 1096 1169 1183 1194 1288 1314
 Movozov, A.      1096
 Mowbray, N.      880
 Mrowka, S.      725 740 1314 1337 1339
 Multiplicative lifting      929
 Multiplicatively pseudo-indecomposable      870
 Munroe, M.      979
 Murphy, T.      1337
 Musial, K.      1324
 Muth, J.      867 875 1179 1194 1288
 Myers, D.      981 1167 1169f 1172 1178f 1188 1192ff 1288 1312 1314
 Myhill, J.      1145 1163
 Mykkelveit, J.      1288 1292
 N(A)      957 960 967 973
 N-atom      1120
 N-atomic element      1120
 N-atomless element      1120
 N-characteristic      991
 n-element      1120
 n-type      1003
 N-typical      1003
 Nachbin, L.      1288 1307
 Nagy, B.      1310
 Naik, N.      1287f
 Namba, K.      1288 1331
 Nasirov, S.      1341 1342
 Natarajan, P.      1286 1288 1307
 Natural ordering      810 844
 Natural ordering of a monoid      810
 Nedogibchenko, G.      1289 1324
 Negligible sets      881
 Negrepontis, S.      942 955 977 1258 1274 1289 1333 1335 1337
 Neighborhood base      1242
 Neighborhood of a point      1242
 Nelson, G.C.      1314f 1328
 Nepeivoda, N.      1328
 Nerode, A.      1126 1131f 1151 1154 1156 1158f 1164 1328
 Neville, C.      1336 1337
 New
  -function      736 Neyman, J.      979
 Nikodym, O.      1307 1310 1324
 Noebauer      1302 1307
 Noetherian ring      1130
 Nolan, C.      1300 1307
 Nolin, L.      1307
 Normal
  -tree      1226 Normal representation sequence      728
 Normal space      1245
 Nosal, ML      1342
 Nowhere dense set in a space      1243
 Nth jump      1134
 Number of projective BAs      xiii 741 763
 Nunnaly, E.      1337
 Nurtazin, A.      1131 1163f
 Nyikos, P.      726 740 1282 1289 1337
 Obtulowicz, A.      1289
 Odintsov, S.      1328
 Olejcek, V.      1289
 Olimov, K.      1342
 Olin, P.      1315
 Olmsted, J.      1310
 Omarov, A.      1315
 Onicescu, O.      1324
 
 | Open cover      1247 Open set      1237
 Orbit diagrams      1167 1191
 Orders      985
 Ostaszewski, A.      725  740 1337
 Outer measure      881 968 975
 Oxtoby, J.      904 977 979 1324
 Paalman-de — Miranda, A.      1270 1289
 Pacholski, L.      1289
 Pallaschke, D.      1324
 Palma de, R.      1307
 Palyutin, E.      867 875 990 1066 1070 1096 1315
 Pankajam, S.      1315
 Papic, P.      1336f
 Parovichenko, I.      1337
 Partial algebra      1048
 Partial recursive index      1102
 Partition algebras      724
 Partition calculus, xv      1213 1215 1228
 Pashenkov, V.      1289 1307 1337 1342
 Pasynkov, B.      1337
 Pauc, Ch.Y.      1304 1307 1321 1324
 Pawlikowski, J.      965 977 1319 1329 1331
 Pelant, J.      1332 1337
 Pelc, A.      1289 1324
 Pelczynski, A.      743 747 773 1334 1337
 Pellaumail, J.      1324
 Pelletier, D.      1331
 Peremans, W.      1307
 Peretyat’kin, ML      1164 1170 1194 1289 1328
 Perevozskii, B.      1337
 Perfect kernel      782
 Perfect space      782
 Periodic automorphism of a BA      927
 Permuting congruences      1037
 Perovic, Z.      1289
 Peters, W.      1342
 Peterson, H.      1337
 Pettis, B.      1289 1324
 PI element      845
 Piatka, L.      1320 1324
 Pickert, G.      1307
 Pierce, R.S.      717 775 782 784 789 791 842 854 861 867 872 875f 1169 1179 1194 1287 1289
 Pierce’s diagrams      1179
 Pillay, A.      1172 1194
 Pincus, D.      1315
 Pinsker, A.      1307 1310
 Pinus, A.      1001 1066 1090 1096 1116 1164 1313 1315 1328
 Plonka, J.      1289
 Plotkin, J.      1287 1290 1315
 Pogorzelski, W.      1315
 Poguntke, W.      1304 1307
 Point of homogeneity      848
 Pointed monoid      1178
 Pol, E.      1338
 Polish space      900f
 Ponasse, D.      1273 1290 1315
 Ponomarev, V.      1290 1332 1338
 Popov, V.      979 1324
 Porada, M.      1274 1290
 Poroshkin, A.      1324
 Positive additive functional on a BA      942 949 953
 Positive functional      942
 Pospisil, B.      1265 1290 1325 1338
 Post, E.      1155 1164
 Potepun, A.      1342
 Potepun, L.      1325
 Pour — El, ML      1158 1164
 Pouzet, M.      1273 1287 1290
 Prasad, V.      927 977
 Pre-algebra      727
 Pre-homogeneous      1228
 Pre-ranking      728
 Precaliber of a BA      942
 Preller, A.      1290 1307
 Pressing down lemma      1223
 Prikry, K.      880 979 1287 1290 1318 1322 1325 1330f 1338
 Prime element      845
 Primitive BA      777 848
 Primitive Boolean space      1191
 Primitive monoid      851
 Primitive semiring      859
 Primitive spaces      1167
 Probability algebra      891
 Probability space      881
 Product measure extension axiom      976
 Product of BAs      747 908 914 919 924 927
 Product of measure spaces      885f 902 960
 Product ordering      1104
 Proizvolov, V.      1290 1338
 Projective BA      717 741ff
 Projective extension      743 752
 Property
  942 Property
  737 Prucnal, T.      1315
 Pseudo-complement of a subalgebra      1152
 Pseudo-indecomposable      1191
 Pseudo-indecomposable BA      847
 Pseudo-indecomposable element      845
 Purceladze, R.      1290
 Purisch, S.      1338
 Qi, J.      1331f
 QO system      854
 Quantification over ideals      xiv 981 1067 1083
 Quantifier rank      987
 Quasi-ordered system      854
 Quotient of a B-valued model      1202
 Quotient space      1245
 R-maximal r.e. set      1153
 R-maximal subalgebra      1154
 R-monoid      811
 R-semiring      843
 R.e. BA      1103
 R.e. BAs      1097 1100
 R.e. index      1102
 R.e. LO      1103
 R.e. subalgebra      1104
 Rabin, M.      985 993 1066 1069f 1081 1083 1096 1315
 Rabin’s theorem      981
 Rado, R.      1230
 Radon measure space      883ff 894 897 903 915 936 939 960 965 968 970 976
 Radon — Nikodym theorem      881 910 931 1211
 Rail, C.      1310
 Raimi, R.      1338
 Rainwater, J.      1338
 Raisonnier, J.      963 979
 Rajagopalan, M.      740 1282 1290 1337f
 Ramirez Labrador, J.      1290
 Ramsey quantifiers      983 987 lOlOff
 Ramsey, F.      1181 1194
 Ramsey’s theorem      999 101
 Random reals      935
 Rank diagrams      1167 1169 1180
 Rank function      786
 Rank isomorphism theorem      1183
 Ranks in a diagram      1179
 Rasiowa — Sikorski lemma, vii      1237
 Rasiowa, H.      1315
 Rassbach, W.      1288 1290
 Rautenberg, W.      1281 1290
 Ray, K.      1318
 Ray, R.      1325
 Rayburn, M.      1290
 Read, D.      1291
 Real-valued-measurable cardinals      879 939 974
 Realization of homomorphisms between BAs      900f 937 940
 Rec. BA      1103
 Rec. LO      1103
 Recursion theory      1100
 Recursive automorphisms      981 1097
 
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