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0001 @article {amemiyakomura, 0002 AUTHOR = {Amemiya, Ichiro and K{\=o}mura, Yukio}, 0003 TITLE = {\"{U}ber nicht-vollst\"andige {M}ontelr\"aume}, 0004 JOURNAL = {Math. Ann.}, 0005 VOLUME = {177}, 0006 YEAR = {1968}, 0007 PAGES = {273--277}, 0008 MRCLASS = {46.01}, 0009 MRNUMBER = {38 \#508}, 0010 MRREVIEWER = {V. Krishnamurthy}, 0011 } 0012 @article {Au99, 0013 AUTHOR = {Au{\ss}enhofer, L.}, 0014 TITLE = {Contributions to the duality theory of abelian topological 0015 groups and to the theory of nuclear groups}, 0016 JOURNAL = {Dissertationes Math. (Rozprawy Mat.)}, 0017 FJOURNAL = {Dissertationes Mathematicae (Rozprawy Matematyczne)}, 0018 VOLUME = {384}, 0019 YEAR = {1999}, 0020 PAGES = {113}, 0021 ISSN = {0012-3862}, 0022 CODEN = {DSMAAH}, 0023 MRCLASS = {43A40 (22B05 43A35 54H11)}, 0024 MRNUMBER = {2001c:43003}, 0025 MRREVIEWER = {Adolf R. Mirotin}, 0026 } 0027 @phdthesis {Au98, 0028 AUTHOR = {Au{\ss}enhofer, L.}, 0029 title={Contributions to the Duality Theory of Abelian Topological Groups 0030 and to the Theory of Nuclear Groups}, 0031 school={Universit{\"{a}}t T\"ubingen}, 0032 year={1998}, 0033 } 0034 @book {banaszcz, 0035 AUTHOR = {Banaszczyk, Wojciech}, 0036 TITLE = {Additive subgroups of topological vector spaces}, 0037 PUBLISHER = {Springer-Verlag}, 0038 ADDRESS = {Berlin}, 0039 YEAR = {1991}, 0040 PAGES = {viii+178}, 0041 ISBN = {3-540-53917-4}, 0042 MRCLASS = {46Axx (47B99)}, 0043 MRNUMBER = {93b:46005}, 0044 MRREVIEWER = {R. Aguil{\'o}-Fuster}, 0045 series = {Lecture Notes in Mathematics}, 0046 number={1466}, 0047 } 0048 @book {bartjudah, 0049 AUTHOR = {Bartoszy{\'n}ski, Tomek and Judah, Haim}, 0050 TITLE = {Set theory}, 0051 PUBLISHER = {A K Peters Ltd.}, 0052 ADDRESS = {Wellesley, MA}, 0053 YEAR = {1995}, 0054 PAGES = {xii+546}, 0055 ISBN = {1-56881-044-X}, 0056 MRCLASS = {03-02 (03Exx)}, 0057 MRNUMBER = {96k:03002}, 0058 MRREVIEWER = {Eva Coplakova}, 0059 } 0060 @book {Bo2-66, 0061 AUTHOR = {Bourbaki, Nicolas}, 0062 TITLE = {Elements of mathematics. {G}eneral topology. {P}art 2}, 0063 PUBLISHER = {Hermann}, 0064 ADDRESS = {Paris}, 0065 YEAR = {1966}, 0066 PAGES = {iv+363}, 0067 MRCLASS = {54.00 (00.00)}, 0068 MRNUMBER = {34 \#5044b}, 0069 } 0070 @article {chasco, 0071 AUTHOR = {Chasco, M. J.}, 0072 TITLE = {Pontryagin duality for metrizable groups}, 0073 JOURNAL = {Arch. Math. (Basel)}, 0074 FJOURNAL = {Archiv der Mathematik. Archives of Mathematics. Archives 0075 Math\'ematiques}, 0076 VOLUME = {70}, 0077 YEAR = {1998}, 0078 NUMBER = {1}, 0079 PAGES = {22--28}, 0080 ISSN = {0003-889X}, 0081 CODEN = {ACVMAL}, 0082 MRCLASS = {22A05}, 0083 MRNUMBER = {98k:22003}, 0084 MRREVIEWER = {Vladimir Pestov}, 0085 } 0086 @book {cies, 0087 AUTHOR = {Ciesielski, Krzysztof}, 0088 TITLE = {Set theory for the working mathematician}, 0089 PUBLISHER = {Cambridge University Press}, 0090 ADDRESS = {Cambridge}, 0091 YEAR = {1997}, 0092 PAGES = {xii+236}, 0093 ISBN = {0-521-59441-3; 0-521-59465-0}, 0094 MRCLASS = {04-02 (03Exx)}, 0095 MRNUMBER = {99c:04001}, 0096 MRREVIEWER = {Perry Smith}, 0097 } 0098 @article {comfremusiv, 0099 AUTHOR = {Comfort, W. W. and Remus, Dieter}, 0100 TITLE = {Pseudocompact refinements of compact group topologies}, 0101 JOURNAL = {Math. Z.}, 0102 FJOURNAL = {Mathematische Zeitschrift}, 0103 VOLUME = {215}, 0104 YEAR = {1994}, 0105 NUMBER = {3}, 0106 PAGES = {337--346}, 0107 ISSN = {0025-5874}, 0108 CODEN = {MAZEAX}, 0109 MRCLASS = {54H11 (54A10)}, 0110 MRNUMBER = {95f:54035}, 0111 MRREVIEWER = {Beverly Diamond}, 0112 } 0113 @article {comfsaks, 0114 AUTHOR = {Comfort, W. W. and Saks, Victor}, 0115 TITLE = {Countably compact groups and finest totally bounded 0116 topologies}, 0117 JOURNAL = {Pacific J. Math.}, 0118 VOLUME = {49}, 0119 YEAR = {1973}, 0120 PAGES = {33--44}, 0121 MRCLASS = {22A05}, 0122 MRNUMBER = {51 \#8321}, 0123 MRREVIEWER = {K. A. Ross}, 0124 } 0125 @article {comfrossi, 0126 AUTHOR = {Comfort, W. W. and Ross, K. A.}, 0127 TITLE = {Topologies induced by groups of characters}, 0128 JOURNAL = {Fund. Math.}, 0129 VOLUME = {55}, 0130 YEAR = {1964}, 0131 PAGES = {283--291}, 0132 MRCLASS = {22.10 (42.51)}, 0133 MRNUMBER = {30 \#183}, 0134 MRREVIEWER = {Edwin Hewitt}, 0135 } 0136 @article {comftrigwu, 0137 AUTHOR = {Comfort, W. W. and Trigos-Arrieta, F. Javier and Wu, Ta Sun}, 0138 TITLE = {The {B}ohr compactification, modulo a metrizable subgroup}, 0139 JOURNAL = {Fund. Math.}, 0140 FJOURNAL = {Fundamenta Mathematicae}, 0141 VOLUME = {143}, 0142 YEAR = {1993}, 0143 NUMBER = {2}, 0144 PAGES = {119--136}, 0145 ISSN = {0016-2736}, 0146 MRCLASS = {22B05 (22C05 22D05 54H11)}, 0147 MRNUMBER = {94i:22013}, 0148 MRREVIEWER = {James Chew}, 0149 } 0150 @article {vdii, 0151 AUTHOR = {van Douwen, Eric K.}, 0152 TITLE = {The maximal totally bounded group topology on ${G}$ and the 0153 biggest minimal ${G}$-space, for abelian groups ${G}$}, 0154 JOURNAL = {Topology Appl.}, 0155 FJOURNAL = {Topology and its Applications}, 0156 VOLUME = {34}, 0157 YEAR = {1990}, 0158 NUMBER = {1}, 0159 PAGES = {69--91}, 0160 ISSN = {0166-8641}, 0161 CODEN = {TIAPD9}, 0162 MRCLASS = {54G05 (22B05 54C20 54C45 54H20)}, 0163 MRNUMBER = {91d:54044}, 0164 MRREVIEWER = {K. A. Ross}, 0165 } 0166 @article {flor, 0167 AUTHOR = {Flor, Peter}, 0168 TITLE = {Zur {B}ohr-{K}onvergenz von {F}olgen}, 0169 JOURNAL = {Math. Scand.}, 0170 VOLUME = {23}, 0171 YEAR = {1968}, 0172 PAGES = {169--170 (1969)}, 0173 MRCLASS = {42.50}, 0174 MRNUMBER = {40 \#4685}, 0175 MRREVIEWER = {R. B. Burckel}, 0176 } 0177 @book {fremlin84, 0178 AUTHOR = {Fremlin, D. H.}, 0179 TITLE = {Consequences of {M}artin's axiom}, 0180 PUBLISHER = {Cambridge University Press}, 0181 ADDRESS = {Cambridge}, 0182 YEAR = {1984}, 0183 PAGES = {xii+325}, 0184 ISBN = {0-521-25091-9}, 0185 MRCLASS = {03-02 (03E50 54-02 54A35)}, 0186 MRNUMBER = {86i:03001}, 0187 MRREVIEWER = {W. W. Comfort}, 0188 } 0189 @article {glickii, 0190 AUTHOR = {Glicksberg, Irving}, 0191 TITLE = {Uniform boundedness for groups}, 0192 JOURNAL = {Canad. J. Math.}, 0193 VOLUME = {14}, 0194 YEAR = {1962}, 0195 PAGES = {269--276}, 0196 MRCLASS = {22.10}, 0197 MRNUMBER = {27 \#5856}, 0198 MRREVIEWER = {L. Nachbin}, 0199 } 0200 @article {hajjuh76, 0201 AUTHOR = {Hajnal, A. and Juh{\'a}sz, I.}, 0202 TITLE = {Remarks on the cardinality of compact spaces and their 0203 {L}indel\"of subspaces}, 0204 JOURNAL = {Proc. Amer. Math. Soc.}, 0205 VOLUME = {59}, 0206 YEAR = {1976}, 0207 NUMBER = {1}, 0208 PAGES = {146--148}, 0209 MRCLASS = {54A25 (54D30)}, 0210 MRNUMBER = {54 \#11263}, 0211 MRREVIEWER = {Stephen Willard}, 0212 } 0213 @book {hri, 0214 AUTHOR = {Hewitt, Edwin and Ross, Kenneth A.}, 0215 TITLE = {Abstract harmonic analysis. {V}ol. {I}: {S}tructure of 0216 topological groups. {I}ntegration theory, group 0217 representations}, 0218 PUBLISHER = {Academic Press Inc.}, 0219 ADDRESS = {Publishers, New York}, 0220 YEAR = {1963}, 0221 PAGES = {viii+519}, 0222 MRCLASS = {22.65 (42.50)}, 0223 MRNUMBER = {28 \#158}, 0224 MRREVIEWER = {J. C. Oxtoby}, 0225 } 0226 @book {jechii, 0227 AUTHOR = {Jech, Thomas}, 0228 TITLE = {Set theory}, 0229 PUBLISHER = {Academic Press [Harcourt Brace Jovanovich Publishers]}, 0230 ADDRESS = {New York}, 0231 YEAR = {1978}, 0232 PAGES = {xi+621}, 0233 ISBN = {0-12-381950-4}, 0234 MRCLASS = {03Exx (04-02)}, 0235 MRNUMBER = {80a:03062}, 0236 MRREVIEWER = {E. Mendelson}, 0237 } 0238 @article {kaplan48, 0239 AUTHOR = {Kaplan, Samuel}, 0240 TITLE = {Extensions of the {P}ontrjagin duality. {I}. {I}nfinite 0241 products}, 0242 JOURNAL = {Duke Math. J.}, 0243 VOLUME = {15}, 0244 YEAR = {1948}, 0245 PAGES = {649--658}, 0246 MRCLASS = {20.0X}, 0247 MRNUMBER = {10,233c}, 0248 MRREVIEWER = {R. Godement}, 0249 } 0250 @book {kechris, 0251 AUTHOR = {Kechris, Alexander S.}, 0252 TITLE = {Classical descriptive set theory}, 0253 PUBLISHER = {Springer-Verlag}, 0254 ADDRESS = {New York}, 0255 YEAR = {1995}, 0256 PAGES = {xviii+402}, 0257 ISBN = {0-387-94374-9}, 0258 MRCLASS = {03E15 (03-01 03-02 04A15 28A05 54H05 90D44)}, 0259 MRNUMBER = {96e:03057}, 0260 MRREVIEWER = {Jakub Jasi{\'n}ski}, 0261 } 0262 @article {komura64, 0263 AUTHOR = {K{\=o}mura, Yukio}, 0264 TITLE = {Some examples on linear topological spaces}, 0265 JOURNAL = {Math. Ann.}, 0266 VOLUME = {153}, 0267 YEAR = {1964}, 0268 PAGES = {150--162}, 0269 MRCLASS = {46.01}, 0270 MRNUMBER = {32 \#2884}, 0271 MRREVIEWER = {A. P. Robertson}, 0272 } 0273 @book {kunen80, 0274 AUTHOR = {Kunen, Kenneth}, 0275 TITLE = {Set theory}, 0276 PUBLISHER = {North-Holland Publishing Co.}, 0277 ADDRESS = {Amsterdam}, 0278 YEAR = {1980}, 0279 PAGES = {xvi+313}, 0280 ISBN = {0-444-85401-0}, 0281 MRCLASS = {03-02 (03E35 03Exx 04-02)}, 0282 MRNUMBER = {82f:03001}, 0283 MRREVIEWER = {U. Felgner}, 0284 series={Studies in Logic and the Foundations of Mathematics}, 0285 number={102}, 0286 } 0287 @article {malysap73, 0288 AUTHOR = {Malyhin, V. I. and {\v{S}}apirovski{\u\i}, B. {\`E}.}, 0289 TITLE = {Martin's axiom, and properties of topological spaces}, 0290 JOURNAL = {Dokl. Akad. Nauk SSSR}, 0291 VOLUME = {213}, 0292 YEAR = {1973}, 0293 PAGES = {532--535}, 0294 MRCLASS = {54D55 (04A30 54A25)}, 0295 MRNUMBER = {49 \#7985}, 0296 MRREVIEWER = {I. Juhasz}, 0297 } 0298 @article {rajsub, 0299 AUTHOR = {Rajagopalan, M. and Subrahmanian, H.}, 0300 TITLE = {Dense subgroups of locally compact groups}, 0301 JOURNAL = {Colloq. Math.}, 0302 VOLUME = {35}, 0303 YEAR = {1976}, 0304 NUMBER = {2}, 0305 PAGES = {289--292}, 0306 MRCLASS = {22B05}, 0307 MRNUMBER = {54 \#5381}, 0308 MRREVIEWER = {Paul Milnes}, 0309 } 0310 @article {reid, 0311 AUTHOR = {Reid, G. A.}, 0312 TITLE = {On sequential convergence in groups}, 0313 JOURNAL = {Math. Z.}, 0314 VOLUME = {102}, 0315 YEAR = {1967}, 0316 PAGES = {227--235}, 0317 MRCLASS = {42.51 (22.00)}, 0318 MRNUMBER = {36 \#3069}, 0319 MRREVIEWER = {J. G. Horne}, 0320 } 0321 @article {remustrig97a, 0322 AUTHOR = {Remus, Dieter and Trigos-Arrieta, F. Javier}, 0323 TITLE = {Locally convex spaces as subgroups of products of locally 0324 compact abelian groups}, 0325 JOURNAL = {Math. Japon.}, 0326 FJOURNAL = {Mathematica Japonica}, 0327 VOLUME = {46}, 0328 YEAR = {1997}, 0329 NUMBER = {2}, 0330 PAGES = {217--222}, 0331 ISSN = {0025-5513}, 0332 CODEN = {MAJAA9}, 0333 MRCLASS = {46A03 (22B05 54H11)}, 0334 MRNUMBER = {98f:46003}, 0335 } 0336 @book {shaf:86, 0337 AUTHOR = {Schaefer, Helmut H.}, 0338 TITLE = {Topological vector spaces}, 0339 series = {Graduate Texts in Mathematics}, 0340 number = {3}, 0341 PUBLISHER = {Springer-Verlag}, 0342 ADDRESS = {New York}, 0343 YEAR = {1986}, 0344 PAGES = {xi+294}, 0345 MRCLASS = {46AXX}, 0346 MRNUMBER = {49 \#7722}, 0347 } 0348 @article {smith52, 0349 AUTHOR = {Smith, Marianne Freundlich}, 0350 TITLE = {The {P}ontrjagin duality theorem in linear spaces}, 0351 JOURNAL = {Ann. of Math. (2)}, 0352 VOLUME = {56}, 0353 YEAR = {1952}, 0354 PAGES = {248--253}, 0355 MRCLASS = {46.3X}, 0356 MRNUMBER = {14,183a}, 0357 MRREVIEWER = {E. Michael}, 0358 } 0359 @book {sriva98, 0360 AUTHOR = {Srivastava, S. M.}, 0361 TITLE = {A course on {B}orel sets}, 0362 PUBLISHER = {Springer-Verlag}, 0363 ADDRESS = {New York}, 0364 YEAR = {1998}, 0365 PAGES = {xvi+261}, 0366 ISBN = {0-387-98412-7}, 0367 MRCLASS = {04A15 (28A05 54-01 54H05)}, 0368 MRNUMBER = {99d:04002}, 0369 MRREVIEWER = {Marek Balcerzak}, 0370 series={Graduate Texts in Mathematics}, 0371 number={180}, 0372 } 0373 @incollection {vaughan90, 0374 AUTHOR = {Vaughan, Jerry E.}, 0375 TITLE = {Small uncountable cardinals and topology}, 0376 BOOKTITLE = {Open problems in topology}, 0377 PAGES = {195--218}, 0378 PUBLISHER = {North-Holland}, 0379 ADDRESS = {Amsterdam}, 0380 YEAR = {1990}, 0381 MRCLASS = {54-02}, 0382 MRNUMBER = {1 078 647}, 0383 } 0384 @book {weili, 0385 author={Weil, Andr{\'e}}, 0386 title={Sur les {E}spaces \`{a} {S}tructure {U}niforme et sur la 0387 {T}opologie {G}\'{e}n\'{e}rale}, 0388 PUBLISHER = {Hermann et Cie., Paris}, 0389 year={1938}, 0390 note={Actualit\'es Sci. Ind., no. 551 = Publ. Inst. Math. Univ. 0391 Strasbourg, 1}, 0392 } 0393 @misc {To01, 0394 author={Todor\v{c}evi\'{c}, Stevo}, 0395 note={Personal Communication}, 0396 month={August}, 0397 year={2001}, 0398 } 0399 @phdthesis {raczphd, 0400 author={Raczkowski-Trigos, Sophia~U.}, 0401 title={Totally {B}ounded {G}roups}, 0402 school = {Wesleyan University}, 0403 address={Middletown, Connecticut, USA}, 0404 year={1998}, 0405 } 0406 @misc {Hr00, 0407 author={Hru{\v{s}}{\'{a}}k, Michael}, 0408 note={Personal Communication}, 0409 month={November 20}, 0410 year={2000}, 0411 } 0412 @unpublished {crt, 0413 author = {Comfort, W. W. and Raczkowski, S. U. and Trigos-Arrieta, F. Javier}, 0414 title={The dual group of a dense subgroup}, 0415 note={Manuscript submitted for publication}, 0416 year={2001}, 0417 }